What is the Greatest Common Factor of 12656 and 12672?

Greatest common factor (GCF) of 12656 and 12672 is 16.

GCF(12656,12672) = 16

We will now calculate the prime factors of 12656 and 12672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12656 and 12672.

How to find the GCF of 12656 and 12672?

We will first find the prime factorization of 12656 and 12672. After we will calculate the factors of 12656 and 12672 and find the biggest common factor number .

Step-1: Prime Factorization of 12656

Prime factors of 12656 are 2, 7, 113. Prime factorization of 12656 in exponential form is:

12656 = 2⁴ × 7¹ × 113¹

Step-2: Prime Factorization of 12672

Prime factors of 12672 are 2, 3, 11. Prime factorization of 12672 in exponential form is:

12672 = 2⁷ × 3² × 11¹

Step-3: Factors of 12656

List of positive integer factors of 12656 that divides 12656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 113, 226, 452, 791, 904, 1582, 1808, 3164, 6328

Step-4: Factors of 12672

List of positive integer factors of 12672 that divides 12656 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 32, 33, 36, 44, 48, 64, 66, 72, 88, 96, 99, 128, 132, 144, 176, 192, 198, 264, 288, 352, 384, 396, 528, 576, 704, 792, 1056, 1152, 1408, 1584, 2112, 3168, 4224, 6336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12656 and 12672. The biggest common factor number is the GCF number.
So the greatest common factor 12656 and 12672 is 16.

Also check out the Least Common Multiple of 12656 and 12672