Greatest Common Factor of 612 and 615

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 612, 615 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 612 and 615 is 3.

GCF(612,615) = 3

GCF of 612 and 615

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

GCF of:
and

Greatest Common Factor of 612 and 615

GCF of 612 and 615 is 3

Prime Factorization of 612


2 612
2 306
3 153
3 51
17 17
1

Prime factors of 612 are 2,3,17. Prime factorization of 612 in exponential form is:

612 = 22×32×171

Prime Factorization of 615


3 615
5 205
41 41
1

Prime factors of 615 are 3,5,41. Prime factorization of 615 in exponential form is:

615 = 31×51×411

∴ So by taking common prime factors GCF of 612 and 615 is 3

Greatest Common Factor of 612 and 615 by matching factors method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Greatest Common Factor

We found the factors and prime factorization of 612 and 615. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 615 is 3.

Also check out the Least Common Multiple of 612 and 615

Properties of GCF 612 and 615

(i) The GCF of 612 and 615 is associative

GCF of 612 and 615 = GCF of 615 and 612

Related Greatest Common Factor of 612

Related Greatest Common Factor of 615

Frequently Asked Questions on GCF of 612 and 615

1. What is the GCF of 612 and 615?

Answer: GCF of 612 and 615 is 3.

2. What are the Factors of 612?

Answer: Factors of 612 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612. There are 18 integers that are factors of 612. The greatest factor of 612 is 612.

3. What are the Factors of 615?

Answer: Factors of 615 are 1, 3, 5, 15, 41, 123, 205, 615. There are 8 integers that are factors of 615. The greatest factor of 615 is 615.

4. How to Find the GCF of 612 and 615?

Answer:

Greatest Common Factor of 612 and 615 = 3

Step 1: Find the prime factorization of 612

612 = 2 x 2 x 3 x 3 x 17

Step 2: Find the prime factorization of 615

615 = 3 x 5 x 41

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 612 and 615 is 3