What is the Greatest Common Factor of 26642 and 26656?

Greatest common factor (GCF) of 26642 and 26656 is 14.

GCF(26642,26656) = 14

We will now calculate the prime factors of 26642 and 26656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26642 and 26656.

How to find the GCF of 26642 and 26656?

We will first find the prime factorization of 26642 and 26656. After we will calculate the factors of 26642 and 26656 and find the biggest common factor number .

Step-1: Prime Factorization of 26642

Prime factors of 26642 are 2, 7, 11, 173. Prime factorization of 26642 in exponential form is:

26642 = 2¹ × 7¹ × 11¹ × 173¹

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 26642

List of positive integer factors of 26642 that divides 26642 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 173, 346, 1211, 1903, 2422, 3806, 13321

Step-4: Factors of 26656

List of positive integer factors of 26656 that divides 26642 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 26642 and 26656. The biggest common factor number is the GCF number.
So the greatest common factor 26642 and 26656 is 14.

Also check out the Least Common Multiple of 26642 and 26656