Greatest Common Factor of 612 and 617

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, 617 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 612 and 617 is 1.

GCF(612,617) = 1

GCF of 612 and 617

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

GCF of:
and

Greatest Common Factor of 612 and 617

GCF of 612 and 617 is 1

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 617


617 617
1

Prime factors of 617 are 617. Prime factorization of 617 in exponential form is:

617 = 6171

∴ So by taking common prime factors GCF of 612 and 617 is 1

Greatest Common Factor of 612 and 617 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 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

Greatest Common Factor

We found the factors and prime factorization of 612 and 617. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 617 is 1.

Also check out the Least Common Multiple of 612 and 617

Properties of GCF 612 and 617

(i) The GCF of 612 and 617 is associative

GCF of 612 and 617 = GCF of 617 and 612

Related Greatest Common Factor of 612

Related Greatest Common Factor of 617

Frequently Asked Questions on GCF of 612 and 617

1. What is the GCF of 612 and 617?

Answer: GCF of 612 and 617 is 1.

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 617?

Answer: Factors of 617 are 1, 617. There are 2 integers that are factors of 617. The greatest factor of 617 is 617.

4. How to Find the GCF of 612 and 617?

Answer:

Greatest Common Factor of 612 and 617 = 1

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 617

617 = 617

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 612 and 617 is 1