Greatest Common Factor of 3616 and 3624

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 3616, 3624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3616 and 3624 is 8.

GCF(3616,3624) = 8

GCF of 3616 and 3624

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

GCF of:
and

Greatest Common Factor of 3616 and 3624

GCF of 3616 and 3624 is 8

Prime Factorization of 3616


2 3616
2 1808
2 904
2 452
2 226
113 113
1

Prime factors of 3616 are 2,113. Prime factorization of 3616 in exponential form is:

3616 = 25×1131

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

∴ So by taking common prime factors GCF of 3616 and 3624 is 8

Greatest Common Factor of 3616 and 3624 by matching factors method

Factors of 3616

List of positive integer factors of 3616 that divides 3616 without a remainder.

1,2,4,8,16,32,113,226,452,904,1808,3616

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

Greatest Common Factor

We found the factors and prime factorization of 3616 and 3624. The biggest common factor number is the GCF number.
So the greatest common factor 3616 and 3624 is 8.

Also check out the Least Common Multiple of 3616 and 3624

Properties of GCF 3616 and 3624

(i) The GCF of 3616 and 3624 is associative

GCF of 3616 and 3624 = GCF of 3624 and 3616

Related Greatest Common Factor of 3616

Related Greatest Common Factor of 3624

Frequently Asked Questions on GCF of 3616 and 3624

1. What is the GCF of 3616 and 3624?

Answer: GCF of 3616 and 3624 is 8.

2. What are the Factors of 3616?

Answer: Factors of 3616 are 1, 2, 4, 8, 16, 32, 113, 226, 452, 904, 1808, 3616. There are 12 integers that are factors of 3616. The greatest factor of 3616 is 3616.

3. 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.

4. How to Find the GCF of 3616 and 3624?

Answer:

Greatest Common Factor of 3616 and 3624 = 8

Step 1: Find the prime factorization of 3616

3616 = 2 x 2 x 2 x 2 x 2 x 113

Step 2: Find the prime factorization of 3624

3624 = 2 x 2 x 2 x 3 x 151

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 3616 and 3624 is 8