What is the Greatest Common Factor of 12256 and 12272?

Greatest common factor (GCF) of 12256 and 12272 is 16.

GCF(12256,12272) = 16

We will now calculate the prime factors of 12256 and 12272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12256 and 12272.

How to find the GCF of 12256 and 12272?

We will first find the prime factorization of 12256 and 12272. After we will calculate the factors of 12256 and 12272 and find the biggest common factor number .

Step-1: Prime Factorization of 12256

Prime factors of 12256 are 2, 383. Prime factorization of 12256 in exponential form is:

12256 = 2⁵ × 383¹

Step-2: Prime Factorization of 12272

Prime factors of 12272 are 2, 13, 59. Prime factorization of 12272 in exponential form is:

12272 = 2⁴ × 13¹ × 59¹

Step-3: Factors of 12256

List of positive integer factors of 12256 that divides 12256 without a remainder.

1, 2, 4, 8, 16, 32, 383, 766, 1532, 3064, 6128

Step-4: Factors of 12272

List of positive integer factors of 12272 that divides 12256 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 59, 104, 118, 208, 236, 472, 767, 944, 1534, 3068, 6136

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12256 and 12272. The biggest common factor number is the GCF number.
So the greatest common factor 12256 and 12272 is 16.

Also check out the Least Common Multiple of 12256 and 12272