Greatest Common Factor of 652 and 660

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 652, 660 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 652 and 660 is 4.

GCF(652,660) = 4

GCF of 652 and 660

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

GCF of:
and

Greatest Common Factor of 652 and 660

GCF of 652 and 660 is 4

Prime Factorization of 652


2 652
2 326
163 163
1

Prime factors of 652 are 2,163. Prime factorization of 652 in exponential form is:

652 = 22×1631

Prime Factorization of 660


2 660
2 330
3 165
5 55
11 11
1

Prime factors of 660 are 2,3,5,11. Prime factorization of 660 in exponential form is:

660 = 22×31×51×111

∴ So by taking common prime factors GCF of 652 and 660 is 4

Greatest Common Factor of 652 and 660 by matching factors method

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 660

List of positive integer factors of 660 that divides 660 without a remainder.

1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660

Greatest Common Factor

We found the factors and prime factorization of 652 and 660. The biggest common factor number is the GCF number.
So the greatest common factor 652 and 660 is 4.

Also check out the Least Common Multiple of 652 and 660

Properties of GCF 652 and 660

(i) The GCF of 652 and 660 is associative

GCF of 652 and 660 = GCF of 660 and 652

Related Greatest Common Factor of 652

Related Greatest Common Factor of 660

Frequently Asked Questions on GCF of 652 and 660

1. What is the GCF of 652 and 660?

Answer: GCF of 652 and 660 is 4.

2. What are the Factors of 652?

Answer: Factors of 652 are 1, 2, 4, 163, 326, 652. There are 6 integers that are factors of 652. The greatest factor of 652 is 652.

3. What are the Factors of 660?

Answer: Factors of 660 are 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660. There are 24 integers that are factors of 660. The greatest factor of 660 is 660.

4. How to Find the GCF of 652 and 660?

Answer:

Greatest Common Factor of 652 and 660 = 4

Step 1: Find the prime factorization of 652

652 = 2 x 2 x 163

Step 2: Find the prime factorization of 660

660 = 2 x 2 x 3 x 5 x 11

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 652 and 660 is 4