What is the Greatest Common Factor of 26639 and 26656?

Greatest common factor (GCF) of 26639 and 26656 is 17.

GCF(26639,26656) = 17

We will now calculate the prime factors of 26639 and 26656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26639 and 26656.

How to find the GCF of 26639 and 26656?

We will first find the prime factorization of 26639 and 26656. After we will calculate the factors of 26639 and 26656 and find the biggest common factor number .

Step-1: Prime Factorization of 26639

Prime factors of 26639 are 17, 1567. Prime factorization of 26639 in exponential form is:

26639 = 17¹ × 1567¹

Step-2: 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-3: Factors of 26639

List of positive integer factors of 26639 that divides 26639 without a remainder.

1, 17, 1567

Step-4: Factors of 26656

List of positive integer factors of 26656 that divides 26639 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26639 and 26656. The biggest common factor number is the GCF number.
So the greatest common factor 26639 and 26656 is 17.

Also check out the Least Common Multiple of 26639 and 26656