Greatest Common Factor of 3664 and 3672

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, 3672 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3664 and 3672 is 8.

GCF(3664,3672) = 8

GCF of 3664 and 3672

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

GCF of:
and

Greatest Common Factor of 3664 and 3672

GCF of 3664 and 3672 is 8

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 3672


2 3672
2 1836
2 918
3 459
3 153
3 51
17 17
1

Prime factors of 3672 are 2,3,17. Prime factorization of 3672 in exponential form is:

3672 = 23×33×171

∴ So by taking common prime factors GCF of 3664 and 3672 is 8

Greatest Common Factor of 3664 and 3672 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 3672

List of positive integer factors of 3672 that divides 3672 without a remainder.

1,2,3,4,6,8,9,12,17,18,24,27,34,36,51,54,68,72,102,108,136,153,204,216,306,408,459,612,918,1224,1836,3672

Greatest Common Factor

We found the factors and prime factorization of 3664 and 3672. The biggest common factor number is the GCF number.
So the greatest common factor 3664 and 3672 is 8.

Also check out the Least Common Multiple of 3664 and 3672

Properties of GCF 3664 and 3672

(i) The GCF of 3664 and 3672 is associative

GCF of 3664 and 3672 = GCF of 3672 and 3664

Related Greatest Common Factor of 3664

Related Greatest Common Factor of 3672

Frequently Asked Questions on GCF of 3664 and 3672

1. What is the GCF of 3664 and 3672?

Answer: GCF of 3664 and 3672 is 8.

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 3672?

Answer: Factors of 3672 are 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 102, 108, 136, 153, 204, 216, 306, 408, 459, 612, 918, 1224, 1836, 3672. There are 32 integers that are factors of 3672. The greatest factor of 3672 is 3672.

4. How to Find the GCF of 3664 and 3672?

Answer:

Greatest Common Factor of 3664 and 3672 = 8

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 3672

3672 = 2 x 2 x 2 x 3 x 3 x 3 x 17

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 3664 and 3672 is 8