Greatest Common Factor of 637 and 644

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 637, 644 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 637 and 644 is 7.

GCF(637,644) = 7

GCF of 637 and 644

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

GCF of:
and

Greatest Common Factor of 637 and 644

GCF of 637 and 644 is 7

Prime Factorization of 637


7 637
7 91
13 13
1

Prime factors of 637 are 7,13. Prime factorization of 637 in exponential form is:

637 = 72×131

Prime Factorization of 644


2 644
2 322
7 161
23 23
1

Prime factors of 644 are 2,7,23. Prime factorization of 644 in exponential form is:

644 = 22×71×231

∴ So by taking common prime factors GCF of 637 and 644 is 7

Greatest Common Factor of 637 and 644 by matching factors method

Factors of 637

List of positive integer factors of 637 that divides 637 without a remainder.

1,7,13,49,91,637

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Greatest Common Factor

We found the factors and prime factorization of 637 and 644. The biggest common factor number is the GCF number.
So the greatest common factor 637 and 644 is 7.

Also check out the Least Common Multiple of 637 and 644

Properties of GCF 637 and 644

(i) The GCF of 637 and 644 is associative

GCF of 637 and 644 = GCF of 644 and 637

Related Greatest Common Factor of 637

Related Greatest Common Factor of 644

Frequently Asked Questions on GCF of 637 and 644

1. What is the GCF of 637 and 644?

Answer: GCF of 637 and 644 is 7.

2. What are the Factors of 637?

Answer: Factors of 637 are 1, 7, 13, 49, 91, 637. There are 6 integers that are factors of 637. The greatest factor of 637 is 637.

3. What are the Factors of 644?

Answer: Factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644. There are 12 integers that are factors of 644. The greatest factor of 644 is 644.

4. How to Find the GCF of 637 and 644?

Answer:

Greatest Common Factor of 637 and 644 = 7

Step 1: Find the prime factorization of 637

637 = 7 x 7 x 13

Step 2: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

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 637 and 644 is 7