Greatest Common Factor of 5256 and 5262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 5256, 5262 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5256 and 5262 is 6.

GCF(5256,5262) = 6

GCF of 5256 and 5262

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 5256 and 5262

GCF of 5256 and 5262 is 6

Prime Factorization of 5256


2 5256
2 2628
2 1314
3 657
3 219
73 73
1

Prime factors of 5256 are 2,3,73. Prime factorization of 5256 in exponential form is:

5256 = 23×32×731

Prime Factorization of 5262


2 5262
3 2631
877 877
1

Prime factors of 5262 are 2,3,877. Prime factorization of 5262 in exponential form is:

5262 = 21×31×8771

∴ So by taking common prime factors GCF of 5256 and 5262 is 6

Greatest Common Factor of 5256 and 5262 by matching factors method

Factors of 5256

List of positive integer factors of 5256 that divides 5256 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72,73,146,219,292,438,584,657,876,1314,1752,2628,5256

Factors of 5262

List of positive integer factors of 5262 that divides 5262 without a remainder.

1,2,3,6,877,1754,2631,5262

Greatest Common Factor

We found the factors and prime factorization of 5256 and 5262. The biggest common factor number is the GCF number.
So the greatest common factor 5256 and 5262 is 6.

Also check out the Least Common Multiple of 5256 and 5262

Properties of GCF 5256 and 5262

(i) The GCF of 5256 and 5262 is associative

GCF of 5256 and 5262 = GCF of 5262 and 5256

Related Greatest Common Factor of 5256

Related Greatest Common Factor of 5262

Frequently Asked Questions on GCF of 5256 and 5262

1. What is the GCF of 5256 and 5262?

Answer: GCF of 5256 and 5262 is 6.

2. What are the Factors of 5256?

Answer: Factors of 5256 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 73, 146, 219, 292, 438, 584, 657, 876, 1314, 1752, 2628, 5256. There are 24 integers that are factors of 5256. The greatest factor of 5256 is 5256.

3. What are the Factors of 5262?

Answer: Factors of 5262 are 1, 2, 3, 6, 877, 1754, 2631, 5262. There are 8 integers that are factors of 5262. The greatest factor of 5262 is 5262.

4. How to Find the GCF of 5256 and 5262?

Answer:

Greatest Common Factor of 5256 and 5262 = 6

Step 1: Find the prime factorization of 5256

5256 = 2 x 2 x 2 x 3 x 3 x 73

Step 2: Find the prime factorization of 5262

5262 = 2 x 3 x 877

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 5256 and 5262 is 6