# GCF of 52 and 78

The gcf of 52 and 78 is the largest positive integer that divides the numbers 52 and 78 without a remainder. Spelled out, it is the greatest common factor of 52 and 78. Here you can find the gcf of 52 and 78, along with a total of three methods for computing it. In addition, we have a calculator you should check out. Not only can it determine the gcf of 52 and 78, but also that of three or more integers including fifty-two and seventy-eight for example. Keep reading to learn everything about the gcf (52,78) and the terms related to it.

## What is the GCF of 52 and 78

If you just want to know what is the greatest common factor of 52 and 78, it is 26. Usually, this is written as

gcf(52,78) = 26

The gcf of 52 and 78 can be obtained like this:

• The factors of 52 are 52, 26, 13, 4, 2, 1.
• The factors of 78 are 78, 39, 26, 13, 6, 3, 2, 1.
• The common factors of 52 and 78 are 26, 13, 2, 1, intersecting the two sets above.
• In the intersection factors of 52 ∩ factors of 78 the greatest element is 26.
• Therefore, the greatest common factor of 52 and 78 is 26.

Taking the above into account you also know how to find all the common factors of 52 and 78, not just the greatest. In the next section we show you how to calculate the gcf of fifty-two and seventy-eight by means of two more methods.

## How to find the GCF of 52 and 78

The greatest common factor of 52 and 78 can be computed by using the least common multiple aka lcm of 52 and 78. This is the easiest approach:

gcf (52,78) = $\frac{52 \times 78}{lcm(52,78)} = \frac{4056}{156}$ = 26

Alternatively, the gcf of 52 and 78 can be found using the prime factorization of 52 and 78:

• The prime factorization of 52 is: 2 x 2 x 13
• The prime factorization of 78 is: 2 x 3 x 13
• The prime factors and multiplicities 52 and 78 have in common are: 2 x 13
• 2 x 13 is the gcf of 52 and 78
• gcf(52,78) = 26

In any case, the easiest way to compute the gcf of two numbers like 52 and 78 is by using our calculator below. Note that it can also compute the gcf of more than two numbers, separated by a comma. For example, enter 52,78. The calculation is conducted automatically.

The gcf is...
Frequently searched terms on our site also include:

## Use of GCF of 52 and 78

What is the greatest common factor of 52 and 78 used for? Answer: It is helpful for reducing fractions like 52 / 78. Just divide the nominator as well as the denominator by the gcf (52,78) to reduce the fraction to lowest terms.

$\frac{52}{78} = \frac{\frac{52}{26}}{\frac{78}{26}} = \frac{2}{3}$.

## Properties of GCF of 52 and 78

The most important properties of the gcf(52,78) are:

• Commutative property: gcf(52,78) = gcf(78,52)
• Associative property: gcf(52,78,n) = gcf(gcf(78,52),n) $\hspace{10px}n\hspace{3px}\epsilon\hspace{3px}\mathbb{Z}$

The associativity is particularly useful to get the gcf of three or more numbers; our calculator makes use of it.

To sum up, the gcf of 52 and 78 is 26. In common notation: gcf (52,78) = 26.

If you have been searching for gcf 52 and 78 or gcf 52 78 then you have come to the correct page, too. The same is the true if you typed gcf for 52 and 78 in your favorite search engine.

Note that you can find the greatest common factor of many integer pairs including fifty-two / seventy-eight by using the search form in the sidebar of this page.

Questions and comments related to the gcf of 52 and 78 are really appreciated. Use the form below or send us a mail to get in touch.

Please hit the sharing buttons if our article about the greatest common factor of 52 and 78 has been useful to you, and make sure to bookmark our site.

Posted in Greatest Common Factor

## Related pages

what is the prime factorization of 198common multiples of 10 and 1584 as a product of prime factorsfind the prime factorization of 51is 68 a prime or composite numberwhat is the prime factorization of 4620 by 20 multiplication chart printable101 prime factorizationprime factorization 105prime factorization 81what is the greatest common factor of 36 and 90what is the lcm of 2 and 7gcf of 121is thirteen a prime numberprime factorization of 1900prime factorization of 344prime factorization of 108the prime factors of 84printable multiplication table 1-100what is the greatest common factor of 24 and 10812xtableprime factorization chart 1-100the lcm of 2 and 4gcf monomial calculatorgcf of 75 and 60prime factorization of 196prime factorization of 322multiplication chart 1-50what is the greatest common factor of 24 and 108prime factorization of 98 using exponentsprime factorization 126lowest common multiple of 72 and 120prime factorization 10498 prime factorization40x timetabledivisors of 144what are prime factors of 84gcf of 54 and 63prime factors of 250prime factorization of 256common multiples of 4 and 9what is the greatest common factor of 54 and 36prime factorization for 105101 prime factorizationsmallest common multiple of 36 and 60prime factorization of 102what is the greatest common factor of 18 and 63multiplication table 1-50prime factorization for 84prime factorization of 138what is the prime factors of 81is thirteen a prime numbermultiplication table up to 200times table 30x30144 prime factorizationthe prime factorization of 121prime factorization of 225gcfcalculatorwhat is the prime factorization of 684prime factorization of 450prime factorization of 55greatest common factor of 21 35 49prime factors of 56108 as a product of prime factorsprime factorizations of 7236-27-36multiplication table chart up to 100prime factorization for 98find the prime factorization of 35prime factorization 135is 57 a prime or composite numberprime factors of 1764prime factorization of 79the prime factorization of 85prime factors of 300prime factorization of 96prime factor of 75is 181 a prime numberprime factors of 88the prime factorization of 51the prime factorization of 15prime factorization of 396prime factors of 180