Greatest Common Factor of 651 and 658

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 651, 658 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 651 and 658 is 7.

GCF(651,658) = 7

GCF of 651 and 658

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

GCF of:
and

Greatest Common Factor of 651 and 658

GCF of 651 and 658 is 7

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

Prime Factorization of 658


2 658
7 329
47 47
1

Prime factors of 658 are 2,7,47. Prime factorization of 658 in exponential form is:

658 = 21×71×471

∴ So by taking common prime factors GCF of 651 and 658 is 7

Greatest Common Factor of 651 and 658 by matching factors method

Factors of 651

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

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

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors and prime factorization of 651 and 658. The biggest common factor number is the GCF number.
So the greatest common factor 651 and 658 is 7.

Also check out the Least Common Multiple of 651 and 658

Properties of GCF 651 and 658

(i) The GCF of 651 and 658 is associative

GCF of 651 and 658 = GCF of 658 and 651

Related Greatest Common Factor of 651

Related Greatest Common Factor of 658

Frequently Asked Questions on GCF of 651 and 658

1. What is the GCF of 651 and 658?

Answer: GCF of 651 and 658 is 7.

2. 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.

3. What are the Factors of 658?

Answer: Factors of 658 are 1, 2, 7, 14, 47, 94, 329, 658. There are 8 integers that are factors of 658. The greatest factor of 658 is 658.

4. How to Find the GCF of 651 and 658?

Answer:

Greatest Common Factor of 651 and 658 = 7

Step 1: Find the prime factorization of 651

651 = 3 x 7 x 31

Step 2: Find the prime factorization of 658

658 = 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 651 and 658 is 7