What is the Greatest Common Factor of 26656 and 26672?

Greatest common factor (GCF) of 26656 and 26672 is 16.

GCF(26656,26672) = 16

We will now calculate the prime factors of 26656 and 26672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26656 and 26672.

How to find the GCF of 26656 and 26672?

We will first find the prime factorization of 26656 and 26672. After we will calculate the factors of 26656 and 26672 and find the biggest common factor number .

Step-1: Prime Factorization of 26656

Prime factors of 26656 are 2, 7, 17. Prime factorization of 26656 in exponential form is:

26656 = 2⁵ × 7² × 17¹

Step-2: Prime Factorization of 26672

Prime factors of 26672 are 2, 1667. Prime factorization of 26672 in exponential form is:

26672 = 2⁴ × 1667¹

Step-3: Factors of 26656

List of positive integer factors of 26656 that divides 26656 without a remainder.

1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 49, 56, 68, 98, 112, 119, 136, 196, 224, 238, 272, 392, 476, 544, 784, 833, 952, 1568, 1666, 1904, 3332, 3808, 6664, 13328

Step-4: Factors of 26672

List of positive integer factors of 26672 that divides 26656 without a remainder.

1, 2, 4, 8, 16, 1667, 3334, 6668, 13336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26656 and 26672. The biggest common factor number is the GCF number.
So the greatest common factor 26656 and 26672 is 16.

Also check out the Least Common Multiple of 26656 and 26672