What is the Greatest Common Factor of 26656 and 26673?

Greatest common factor (GCF) of 26656 and 26673 is 17.

GCF(26656,26673) = 17

We will now calculate the prime factors of 26656 and 26673, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26656 and 26673.

How to find the GCF of 26656 and 26673?

We will first find the prime factorization of 26656 and 26673. After we will calculate the factors of 26656 and 26673 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 26673

Prime factors of 26673 are 3, 17, 523. Prime factorization of 26673 in exponential form is:

26673 = 3¹ × 17¹ × 523¹

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 26673

List of positive integer factors of 26673 that divides 26656 without a remainder.

1, 3, 17, 51, 523, 1569, 8891

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26656 and 26673. The biggest common factor number is the GCF number.
So the greatest common factor 26656 and 26673 is 17.

Also check out the Least Common Multiple of 26656 and 26673