What is the Greatest Common Factor of 1266 and 1272?

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

GCF(1266,1272) = 6

We will now calculate the prime factors of 1266 and 1272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1266 and 1272.

How to find the GCF of 1266 and 1272?

We will first find the prime factorization of 1266 and 1272. After we will calculate the factors of 1266 and 1272 and find the biggest common factor number .

Step-1: Prime Factorization of 1266

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

1266 = 2¹ × 3¹ × 211¹

Step-2: Prime Factorization of 1272

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

1272 = 2³ × 3¹ × 53¹

Step-3: Factors of 1266

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

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

Step-4: Factors of 1272

List of positive integer factors of 1272 that divides 1266 without a remainder.

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

Final Step: Biggest Common Factor Number

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