Greatest Common Factor of 252 and 260

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 252, 260 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 252 and 260 is 4.

GCF(252,260) = 4

GCF of 252 and 260

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

GCF of:
and

Greatest Common Factor of 252 and 260

GCF of 252 and 260 is 4

Prime Factorization of 252


2 252
2 126
3 63
3 21
7 7
1

Prime factors of 252 are 2,3,7. Prime factorization of 252 in exponential form is:

252 = 22×32×71

Prime Factorization of 260


2 260
2 130
5 65
13 13
1

Prime factors of 260 are 2,5,13. Prime factorization of 260 in exponential form is:

260 = 22×51×131

∴ So by taking common prime factors GCF of 252 and 260 is 4

Greatest Common Factor of 252 and 260 by matching factors method

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Greatest Common Factor

We found the factors and prime factorization of 252 and 260. The biggest common factor number is the GCF number.
So the greatest common factor 252 and 260 is 4.

Also check out the Least Common Multiple of 252 and 260

Properties of GCF 252 and 260

(i) The GCF of 252 and 260 is associative

GCF of 252 and 260 = GCF of 260 and 252

Related Greatest Common Factor of 252

Related Greatest Common Factor of 260

Frequently Asked Questions on GCF of 252 and 260

1. What is the GCF of 252 and 260?

Answer: GCF of 252 and 260 is 4.

2. What are the Factors of 252?

Answer: Factors of 252 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252. There are 18 integers that are factors of 252. The greatest factor of 252 is 252.

3. What are the Factors of 260?

Answer: Factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260. There are 12 integers that are factors of 260. The greatest factor of 260 is 260.

4. How to Find the GCF of 252 and 260?

Answer:

Greatest Common Factor of 252 and 260 = 4

Step 1: Find the prime factorization of 252

252 = 2 x 2 x 3 x 3 x 7

Step 2: Find the prime factorization of 260

260 = 2 x 2 x 5 x 13

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 252 and 260 is 4