Greatest Common Factor of 610 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 610, 615 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 610 and 615 is 5.

GCF(610,615) = 5

GCF of 610 and 615

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

GCF of:
and

Greatest Common Factor of 610 and 615

GCF of 610 and 615 is 5

Prime Factorization of 610


2 610
5 305
61 61
1

Prime factors of 610 are 2,5,61. Prime factorization of 610 in exponential form is:

610 = 21×51×611

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 610 and 615 is 5

Greatest Common Factor of 610 and 615 by matching factors method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

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 610 and 615. The biggest common factor number is the GCF number.
So the greatest common factor 610 and 615 is 5.

Also check out the Least Common Multiple of 610 and 615

Properties of GCF 610 and 615

(i) The GCF of 610 and 615 is associative

GCF of 610 and 615 = GCF of 615 and 610

Related Greatest Common Factor of 610

Related Greatest Common Factor of 615

Frequently Asked Questions on GCF of 610 and 615

1. What is the GCF of 610 and 615?

Answer: GCF of 610 and 615 is 5.

2. What are the Factors of 610?

Answer: Factors of 610 are 1, 2, 5, 10, 61, 122, 305, 610. There are 8 integers that are factors of 610. The greatest factor of 610 is 610.

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 610 and 615?

Answer:

Greatest Common Factor of 610 and 615 = 5

Step 1: Find the prime factorization of 610

610 = 2 x 5 x 61

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 = 5

Step 4: Therefore, the greatest common factor of 610 and 615 is 5