Greatest Common Factor of 658 and 665

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 658, 665 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 658 and 665 is 7.

GCF(658,665) = 7

GCF of 658 and 665

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

GCF of:
and

Greatest Common Factor of 658 and 665

GCF of 658 and 665 is 7

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

Prime Factorization of 665


5 665
7 133
19 19
1

Prime factors of 665 are 5,7,19. Prime factorization of 665 in exponential form is:

665 = 51×71×191

∴ So by taking common prime factors GCF of 658 and 665 is 7

Greatest Common Factor of 658 and 665 by matching factors method

Factors of 658

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

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

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors and prime factorization of 658 and 665. The biggest common factor number is the GCF number.
So the greatest common factor 658 and 665 is 7.

Also check out the Least Common Multiple of 658 and 665

Properties of GCF 658 and 665

(i) The GCF of 658 and 665 is associative

GCF of 658 and 665 = GCF of 665 and 658

Related Greatest Common Factor of 658

Related Greatest Common Factor of 665

Frequently Asked Questions on GCF of 658 and 665

1. What is the GCF of 658 and 665?

Answer: GCF of 658 and 665 is 7.

2. 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.

3. What are the Factors of 665?

Answer: Factors of 665 are 1, 5, 7, 19, 35, 95, 133, 665. There are 8 integers that are factors of 665. The greatest factor of 665 is 665.

4. How to Find the GCF of 658 and 665?

Answer:

Greatest Common Factor of 658 and 665 = 7

Step 1: Find the prime factorization of 658

658 = 2 x 7 x 47

Step 2: Find the prime factorization of 665

665 = 5 x 7 x 19

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 658 and 665 is 7