Greatest Common Factor of 5257 and 5264

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 5257, 5264 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5257 and 5264 is 7.

GCF(5257,5264) = 7

GCF of 5257 and 5264

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

GCF of:
and

Greatest Common Factor of 5257 and 5264

GCF of 5257 and 5264 is 7

Prime Factorization of 5257


7 5257
751 751
1

Prime factors of 5257 are 7,751. Prime factorization of 5257 in exponential form is:

5257 = 71×7511

Prime Factorization of 5264


2 5264
2 2632
2 1316
2 658
7 329
47 47
1

Prime factors of 5264 are 2,7,47. Prime factorization of 5264 in exponential form is:

5264 = 24×71×471

∴ So by taking common prime factors GCF of 5257 and 5264 is 7

Greatest Common Factor of 5257 and 5264 by matching factors method

Factors of 5257

List of positive integer factors of 5257 that divides 5257 without a remainder.

1,7,751,5257

Factors of 5264

List of positive integer factors of 5264 that divides 5264 without a remainder.

1,2,4,7,8,14,16,28,47,56,94,112,188,329,376,658,752,1316,2632,5264

Greatest Common Factor

We found the factors and prime factorization of 5257 and 5264. The biggest common factor number is the GCF number.
So the greatest common factor 5257 and 5264 is 7.

Also check out the Least Common Multiple of 5257 and 5264

Properties of GCF 5257 and 5264

(i) The GCF of 5257 and 5264 is associative

GCF of 5257 and 5264 = GCF of 5264 and 5257

Related Greatest Common Factor of 5257

Related Greatest Common Factor of 5264

Frequently Asked Questions on GCF of 5257 and 5264

1. What is the GCF of 5257 and 5264?

Answer: GCF of 5257 and 5264 is 7.

2. What are the Factors of 5257?

Answer: Factors of 5257 are 1, 7, 751, 5257. There are 4 integers that are factors of 5257. The greatest factor of 5257 is 5257.

3. What are the Factors of 5264?

Answer: Factors of 5264 are 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264. There are 20 integers that are factors of 5264. The greatest factor of 5264 is 5264.

4. How to Find the GCF of 5257 and 5264?

Answer:

Greatest Common Factor of 5257 and 5264 = 7

Step 1: Find the prime factorization of 5257

5257 = 7 x 751

Step 2: Find the prime factorization of 5264

5264 = 2 x 2 x 2 x 2 x 7 x 47

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

GCF = 7

Step 4: Therefore, the greatest common factor of 5257 and 5264 is 7