Greatest Common Factor of 3664 and 3668

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 3664, 3668 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3664 and 3668 is 4.

GCF(3664,3668) = 4

GCF of 3664 and 3668

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

GCF of:
and

Greatest Common Factor of 3664 and 3668

GCF of 3664 and 3668 is 4

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

Prime Factorization of 3668


2 3668
2 1834
7 917
131 131
1

Prime factors of 3668 are 2,7,131. Prime factorization of 3668 in exponential form is:

3668 = 22×71×1311

∴ So by taking common prime factors GCF of 3664 and 3668 is 4

Greatest Common Factor of 3664 and 3668 by matching factors method

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

Factors of 3668

List of positive integer factors of 3668 that divides 3668 without a remainder.

1,2,4,7,14,28,131,262,524,917,1834,3668

Greatest Common Factor

We found the factors and prime factorization of 3664 and 3668. The biggest common factor number is the GCF number.
So the greatest common factor 3664 and 3668 is 4.

Also check out the Least Common Multiple of 3664 and 3668

Properties of GCF 3664 and 3668

(i) The GCF of 3664 and 3668 is associative

GCF of 3664 and 3668 = GCF of 3668 and 3664

Related Greatest Common Factor of 3664

Related Greatest Common Factor of 3668

Frequently Asked Questions on GCF of 3664 and 3668

1. What is the GCF of 3664 and 3668?

Answer: GCF of 3664 and 3668 is 4.

2. 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.

3. What are the Factors of 3668?

Answer: Factors of 3668 are 1, 2, 4, 7, 14, 28, 131, 262, 524, 917, 1834, 3668. There are 12 integers that are factors of 3668. The greatest factor of 3668 is 3668.

4. How to Find the GCF of 3664 and 3668?

Answer:

Greatest Common Factor of 3664 and 3668 = 4

Step 1: Find the prime factorization of 3664

3664 = 2 x 2 x 2 x 2 x 229

Step 2: Find the prime factorization of 3668

3668 = 2 x 2 x 7 x 131

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3664 and 3668 is 4