Greatest Common Factor of 644 and 651

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 644, 651 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 644 and 651 is 7.

GCF(644,651) = 7

GCF of 644 and 651

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

GCF of:
and

Greatest Common Factor of 644 and 651

GCF of 644 and 651 is 7

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

Prime Factorization of 651


3 651
7 217
31 31
1

Prime factors of 651 are 3,7,31. Prime factorization of 651 in exponential form is:

651 = 31×71×311

∴ So by taking common prime factors GCF of 644 and 651 is 7

Greatest Common Factor of 644 and 651 by matching factors method

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

Factors of 651

List of positive integer factors of 651 that divides 651 without a remainder.

1,3,7,21,31,93,217,651

Greatest Common Factor

We found the factors and prime factorization of 644 and 651. The biggest common factor number is the GCF number.
So the greatest common factor 644 and 651 is 7.

Also check out the Least Common Multiple of 644 and 651

Properties of GCF 644 and 651

(i) The GCF of 644 and 651 is associative

GCF of 644 and 651 = GCF of 651 and 644

Related Greatest Common Factor of 644

Related Greatest Common Factor of 651

Frequently Asked Questions on GCF of 644 and 651

1. What is the GCF of 644 and 651?

Answer: GCF of 644 and 651 is 7.

2. 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.

3. What are the Factors of 651?

Answer: Factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651. There are 8 integers that are factors of 651. The greatest factor of 651 is 651.

4. How to Find the GCF of 644 and 651?

Answer:

Greatest Common Factor of 644 and 651 = 7

Step 1: Find the prime factorization of 644

644 = 2 x 2 x 7 x 23

Step 2: Find the prime factorization of 651

651 = 3 x 7 x 31

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 644 and 651 is 7