Greatest Common Factor of 3624 and 3628

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 3624, 3628 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3624 and 3628 is 4.

GCF(3624,3628) = 4

GCF of 3624 and 3628

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

GCF of:
and

Greatest Common Factor of 3624 and 3628

GCF of 3624 and 3628 is 4

Prime Factorization of 3624


2 3624
2 1812
2 906
3 453
151 151
1

Prime factors of 3624 are 2,3,151. Prime factorization of 3624 in exponential form is:

3624 = 23×31×1511

Prime Factorization of 3628


2 3628
2 1814
907 907
1

Prime factors of 3628 are 2,907. Prime factorization of 3628 in exponential form is:

3628 = 22×9071

∴ So by taking common prime factors GCF of 3624 and 3628 is 4

Greatest Common Factor of 3624 and 3628 by matching factors method

Factors of 3624

List of positive integer factors of 3624 that divides 3624 without a remainder.

1,2,3,4,6,8,12,24,151,302,453,604,906,1208,1812,3624

Factors of 3628

List of positive integer factors of 3628 that divides 3628 without a remainder.

1,2,4,907,1814,3628

Greatest Common Factor

We found the factors and prime factorization of 3624 and 3628. The biggest common factor number is the GCF number.
So the greatest common factor 3624 and 3628 is 4.

Also check out the Least Common Multiple of 3624 and 3628

Properties of GCF 3624 and 3628

(i) The GCF of 3624 and 3628 is associative

GCF of 3624 and 3628 = GCF of 3628 and 3624

Related Greatest Common Factor of 3624

Related Greatest Common Factor of 3628

Frequently Asked Questions on GCF of 3624 and 3628

1. What is the GCF of 3624 and 3628?

Answer: GCF of 3624 and 3628 is 4.

2. What are the Factors of 3624?

Answer: Factors of 3624 are 1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812, 3624. There are 16 integers that are factors of 3624. The greatest factor of 3624 is 3624.

3. What are the Factors of 3628?

Answer: Factors of 3628 are 1, 2, 4, 907, 1814, 3628. There are 6 integers that are factors of 3628. The greatest factor of 3628 is 3628.

4. How to Find the GCF of 3624 and 3628?

Answer:

Greatest Common Factor of 3624 and 3628 = 4

Step 1: Find the prime factorization of 3624

3624 = 2 x 2 x 2 x 3 x 151

Step 2: Find the prime factorization of 3628

3628 = 2 x 2 x 907

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 3624 and 3628 is 4