Greatest Common Factor of 1266 and 1272

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 1266, 1272 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1266 and 1272 is 6.

GCF(1266,1272) = 6

GCF of 1266 and 1272

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

GCF of:
and

Greatest Common Factor of 1266 and 1272

GCF of 1266 and 1272 is 6

Prime Factorization of 1266


2 1266
3 633
211 211
1

Prime factors of 1266 are 2,3,211. Prime factorization of 1266 in exponential form is:

1266 = 21×31×2111

Prime Factorization of 1272


2 1272
2 636
2 318
3 159
53 53
1

Prime factors of 1272 are 2,3,53. Prime factorization of 1272 in exponential form is:

1272 = 23×31×531

∴ So by taking common prime factors GCF of 1266 and 1272 is 6

Greatest Common Factor of 1266 and 1272 by matching factors method

Factors of 1266

List of positive integer factors of 1266 that divides 1266 without a remainder.

1,2,3,6,211,422,633,1266

Factors of 1272

List of positive integer factors of 1272 that divides 1272 without a remainder.

1,2,3,4,6,8,12,24,53,106,159,212,318,424,636,1272

Greatest Common Factor

We found the factors and prime factorization of 1266 and 1272. The biggest common factor number is the GCF number.
So the greatest common factor 1266 and 1272 is 6.

Also check out the Least Common Multiple of 1266 and 1272

Properties of GCF 1266 and 1272

(i) The GCF of 1266 and 1272 is associative

GCF of 1266 and 1272 = GCF of 1272 and 1266

Related Greatest Common Factor of 1266

Related Greatest Common Factor of 1272

Frequently Asked Questions on GCF of 1266 and 1272

1. What is the GCF of 1266 and 1272?

Answer: GCF of 1266 and 1272 is 6.

2. What are the Factors of 1266?

Answer: Factors of 1266 are 1, 2, 3, 6, 211, 422, 633, 1266. There are 8 integers that are factors of 1266. The greatest factor of 1266 is 1266.

3. What are the Factors of 1272?

Answer: Factors of 1272 are 1, 2, 3, 4, 6, 8, 12, 24, 53, 106, 159, 212, 318, 424, 636, 1272. There are 16 integers that are factors of 1272. The greatest factor of 1272 is 1272.

4. How to Find the GCF of 1266 and 1272?

Answer:

Greatest Common Factor of 1266 and 1272 = 6

Step 1: Find the prime factorization of 1266

1266 = 2 x 3 x 211

Step 2: Find the prime factorization of 1272

1272 = 2 x 2 x 2 x 3 x 53

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1266 and 1272 is 6