Greatest Common Factor of 3656 and 3664

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 3656, 3664 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3656 and 3664 is 8.

GCF(3656,3664) = 8

GCF of 3656 and 3664

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

GCF of:
and

Greatest Common Factor of 3656 and 3664

GCF of 3656 and 3664 is 8

Prime Factorization of 3656


2 3656
2 1828
2 914
457 457
1

Prime factors of 3656 are 2,457. Prime factorization of 3656 in exponential form is:

3656 = 23×4571

Prime Factorization of 3664


2 3664
2 1832
2 916
2 458
229 229
1

Prime factors of 3664 are 2,229. Prime factorization of 3664 in exponential form is:

3664 = 24×2291

∴ So by taking common prime factors GCF of 3656 and 3664 is 8

Greatest Common Factor of 3656 and 3664 by matching factors method

Factors of 3656

List of positive integer factors of 3656 that divides 3656 without a remainder.

1,2,4,8,457,914,1828,3656

Factors of 3664

List of positive integer factors of 3664 that divides 3664 without a remainder.

1,2,4,8,16,229,458,916,1832,3664

Greatest Common Factor

We found the factors and prime factorization of 3656 and 3664. The biggest common factor number is the GCF number.
So the greatest common factor 3656 and 3664 is 8.

Also check out the Least Common Multiple of 3656 and 3664

Properties of GCF 3656 and 3664

(i) The GCF of 3656 and 3664 is associative

GCF of 3656 and 3664 = GCF of 3664 and 3656

Related Greatest Common Factor of 3656

Related Greatest Common Factor of 3664

Frequently Asked Questions on GCF of 3656 and 3664

1. What is the GCF of 3656 and 3664?

Answer: GCF of 3656 and 3664 is 8.

2. What are the Factors of 3656?

Answer: Factors of 3656 are 1, 2, 4, 8, 457, 914, 1828, 3656. There are 8 integers that are factors of 3656. The greatest factor of 3656 is 3656.

3. What are the Factors of 3664?

Answer: Factors of 3664 are 1, 2, 4, 8, 16, 229, 458, 916, 1832, 3664. There are 10 integers that are factors of 3664. The greatest factor of 3664 is 3664.

4. How to Find the GCF of 3656 and 3664?

Answer:

Greatest Common Factor of 3656 and 3664 = 8

Step 1: Find the prime factorization of 3656

3656 = 2 x 2 x 2 x 457

Step 2: Find the prime factorization of 3664

3664 = 2 x 2 x 2 x 2 x 229

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3656 and 3664 is 8