Greatest Common Factor of 3657 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 3657, 3664 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3657 and 3664 is 1.

GCF(3657,3664) = 1

GCF of 3657 and 3664

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

GCF of:
and

Greatest Common Factor of 3657 and 3664

GCF of 3657 and 3664 is 1

Prime Factorization of 3657


3 3657
23 1219
53 53
1

Prime factors of 3657 are 3,23,53. Prime factorization of 3657 in exponential form is:

3657 = 31×231×531

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 3657 and 3664 is 1

Greatest Common Factor of 3657 and 3664 by matching factors method

Factors of 3657

List of positive integer factors of 3657 that divides 3657 without a remainder.

1,3,23,53,69,159,1219,3657

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 3657 and 3664. The biggest common factor number is the GCF number.
So the greatest common factor 3657 and 3664 is 1.

Also check out the Least Common Multiple of 3657 and 3664

Properties of GCF 3657 and 3664

(i) The GCF of 3657 and 3664 is associative

GCF of 3657 and 3664 = GCF of 3664 and 3657

Related Greatest Common Factor of 3657

Related Greatest Common Factor of 3664

Frequently Asked Questions on GCF of 3657 and 3664

1. What is the GCF of 3657 and 3664?

Answer: GCF of 3657 and 3664 is 1.

2. What are the Factors of 3657?

Answer: Factors of 3657 are 1, 3, 23, 53, 69, 159, 1219, 3657. There are 8 integers that are factors of 3657. The greatest factor of 3657 is 3657.

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 3657 and 3664?

Answer:

Greatest Common Factor of 3657 and 3664 = 1

Step 1: Find the prime factorization of 3657

3657 = 3 x 23 x 53

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 = = 1

Step 4: Therefore, the greatest common factor of 3657 and 3664 is 1