Greatest Common Factor of 9612 and 9615

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 9612, 9615 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9612 and 9615 is 3.

GCF(9612,9615) = 3

GCF of 9612 and 9615

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

GCF of:
and

Greatest Common Factor of 9612 and 9615

GCF of 9612 and 9615 is 3

Prime Factorization of 9612


2 9612
2 4806
3 2403
3 801
3 267
89 89
1

Prime factors of 9612 are 2,3,89. Prime factorization of 9612 in exponential form is:

9612 = 22×33×891

Prime Factorization of 9615


3 9615
5 3205
641 641
1

Prime factors of 9615 are 3,5,641. Prime factorization of 9615 in exponential form is:

9615 = 31×51×6411

∴ So by taking common prime factors GCF of 9612 and 9615 is 3

Greatest Common Factor of 9612 and 9615 by matching factors method

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Factors of 9615

List of positive integer factors of 9615 that divides 9615 without a remainder.

1,3,5,15,641,1923,3205,9615

Greatest Common Factor

We found the factors and prime factorization of 9612 and 9615. The biggest common factor number is the GCF number.
So the greatest common factor 9612 and 9615 is 3.

Also check out the Least Common Multiple of 9612 and 9615

Properties of GCF 9612 and 9615

(i) The GCF of 9612 and 9615 is associative

GCF of 9612 and 9615 = GCF of 9615 and 9612

Related Greatest Common Factor of 9612

Related Greatest Common Factor of 9615

Frequently Asked Questions on GCF of 9612 and 9615

1. What is the GCF of 9612 and 9615?

Answer: GCF of 9612 and 9615 is 3.

2. What are the Factors of 9612?

Answer: Factors of 9612 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 89, 108, 178, 267, 356, 534, 801, 1068, 1602, 2403, 3204, 4806, 9612. There are 24 integers that are factors of 9612. The greatest factor of 9612 is 9612.

3. What are the Factors of 9615?

Answer: Factors of 9615 are 1, 3, 5, 15, 641, 1923, 3205, 9615. There are 8 integers that are factors of 9615. The greatest factor of 9615 is 9615.

4. How to Find the GCF of 9612 and 9615?

Answer:

Greatest Common Factor of 9612 and 9615 = 3

Step 1: Find the prime factorization of 9612

9612 = 2 x 2 x 3 x 3 x 3 x 89

Step 2: Find the prime factorization of 9615

9615 = 3 x 5 x 641

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9612 and 9615 is 3