What is the Greatest Common Factor of 26656 and 26666?

Greatest common factor (GCF) of 26656 and 26666 is 2.

GCF(26656,26666) = 2

We will now calculate the prime factors of 26656 and 26666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26656 and 26666.

How to find the GCF of 26656 and 26666?

We will first find the prime factorization of 26656 and 26666. After we will calculate the factors of 26656 and 26666 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 26666

Prime factors of 26666 are 2, 67, 199. Prime factorization of 26666 in exponential form is:

26666 = 2¹ × 67¹ × 199¹

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 26666

List of positive integer factors of 26666 that divides 26656 without a remainder.

1, 2, 67, 134, 199, 398, 13333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26656 and 26666. The biggest common factor number is the GCF number.
So the greatest common factor 26656 and 26666 is 2.

Also check out the Least Common Multiple of 26656 and 26666