Greatest Common Factor of 612 and 620

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, 620 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 612 and 620 is 4.

GCF(612,620) = 4

GCF of 612 and 620

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

GCF of:
and

Greatest Common Factor of 612 and 620

GCF of 612 and 620 is 4

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 620


2 620
2 310
5 155
31 31
1

Prime factors of 620 are 2,5,31. Prime factorization of 620 in exponential form is:

620 = 22×51×311

∴ So by taking common prime factors GCF of 612 and 620 is 4

Greatest Common Factor of 612 and 620 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 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Greatest Common Factor

We found the factors and prime factorization of 612 and 620. The biggest common factor number is the GCF number.
So the greatest common factor 612 and 620 is 4.

Also check out the Least Common Multiple of 612 and 620

Properties of GCF 612 and 620

(i) The GCF of 612 and 620 is associative

GCF of 612 and 620 = GCF of 620 and 612

Related Greatest Common Factor of 612

Related Greatest Common Factor of 620

Frequently Asked Questions on GCF of 612 and 620

1. What is the GCF of 612 and 620?

Answer: GCF of 612 and 620 is 4.

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 620?

Answer: Factors of 620 are 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620. There are 12 integers that are factors of 620. The greatest factor of 620 is 620.

4. How to Find the GCF of 612 and 620?

Answer:

Greatest Common Factor of 612 and 620 = 4

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 620

620 = 2 x 2 x 5 x 31

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 612 and 620 is 4