Greatest Common Factor of 656 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 656, 658 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 656 and 658 is 2.

GCF(656,658) = 2

GCF of 656 and 658

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

GCF of:
and

Greatest Common Factor of 656 and 658

GCF of 656 and 658 is 2

Prime Factorization of 656


2 656
2 328
2 164
2 82
41 41
1

Prime factors of 656 are 2,41. Prime factorization of 656 in exponential form is:

656 = 24×411

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 656 and 658 is 2

Greatest Common Factor of 656 and 658 by matching factors method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

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 656 and 658. The biggest common factor number is the GCF number.
So the greatest common factor 656 and 658 is 2.

Also check out the Least Common Multiple of 656 and 658

Properties of GCF 656 and 658

(i) The GCF of 656 and 658 is associative

GCF of 656 and 658 = GCF of 658 and 656

Related Greatest Common Factor of 656

Related Greatest Common Factor of 658

Frequently Asked Questions on GCF of 656 and 658

1. What is the GCF of 656 and 658?

Answer: GCF of 656 and 658 is 2.

2. What are the Factors of 656?

Answer: Factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656. There are 10 integers that are factors of 656. The greatest factor of 656 is 656.

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 656 and 658?

Answer:

Greatest Common Factor of 656 and 658 = 2

Step 1: Find the prime factorization of 656

656 = 2 x 2 x 2 x 2 x 41

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 = 2

Step 4: Therefore, the greatest common factor of 656 and 658 is 2