Greatest Common Factor of 12260 and 12268

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 12260, 12268 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 12260 and 12268 is 4.

GCF(12260,12268) = 4

GCF of 12260 and 12268

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

GCF of:
and

Greatest Common Factor of 12260 and 12268

GCF of 12260 and 12268 is 4

Prime Factorization of 12260


2 12260
2 6130
5 3065
613 613
1

Prime factors of 12260 are 2,5,613. Prime factorization of 12260 in exponential form is:

12260 = 22×51×6131

Prime Factorization of 12268


2 12268
2 6134
3067 3067
1

Prime factors of 12268 are 2,3067. Prime factorization of 12268 in exponential form is:

12268 = 22×30671

∴ So by taking common prime factors GCF of 12260 and 12268 is 4

Greatest Common Factor of 12260 and 12268 by matching factors method

Factors of 12260

List of positive integer factors of 12260 that divides 12260 without a remainder.

1,2,4,5,10,20,613,1226,2452,3065,6130,12260

Factors of 12268

List of positive integer factors of 12268 that divides 12268 without a remainder.

1,2,4,3067,6134,12268

Greatest Common Factor

We found the factors and prime factorization of 12260 and 12268. The biggest common factor number is the GCF number.
So the greatest common factor 12260 and 12268 is 4.

Also check out the Least Common Multiple of 12260 and 12268

Properties of GCF 12260 and 12268

(i) The GCF of 12260 and 12268 is associative

GCF of 12260 and 12268 = GCF of 12268 and 12260

Related Greatest Common Factor of 12260

Related Greatest Common Factor of 12268

Frequently Asked Questions on GCF of 12260 and 12268

1. What is the GCF of 12260 and 12268?

Answer: GCF of 12260 and 12268 is 4.

2. What are the Factors of 12260?

Answer: Factors of 12260 are 1, 2, 4, 5, 10, 20, 613, 1226, 2452, 3065, 6130, 12260. There are 12 integers that are factors of 12260. The greatest factor of 12260 is 12260.

3. What are the Factors of 12268?

Answer: Factors of 12268 are 1, 2, 4, 3067, 6134, 12268. There are 6 integers that are factors of 12268. The greatest factor of 12268 is 12268.

4. How to Find the GCF of 12260 and 12268?

Answer:

Greatest Common Factor of 12260 and 12268 = 4

Step 1: Find the prime factorization of 12260

12260 = 2 x 2 x 5 x 613

Step 2: Find the prime factorization of 12268

12268 = 2 x 2 x 3067

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 12260 and 12268 is 4