What is the Greatest Common Factor of 26659 and 26672?

Greatest common factor (GCF) of 26659 and 26672 is 1.

GCF(26659,26672) = 1

We will now calculate the prime factors of 26659 and 26672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26659 and 26672.

How to find the GCF of 26659 and 26672?

We will first find the prime factorization of 26659 and 26672. After we will calculate the factors of 26659 and 26672 and find the biggest common factor number .

Step-1: Prime Factorization of 26659

Prime factors of 26659 are 53, 503. Prime factorization of 26659 in exponential form is:

26659 = 53¹ × 503¹

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 26659

List of positive integer factors of 26659 that divides 26659 without a remainder.

1, 53, 503

Step-4: Factors of 26672

List of positive integer factors of 26672 that divides 26659 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 26659 and 26672. The biggest common factor number is the GCF number.
So the greatest common factor 26659 and 26672 is 1.

Also check out the Least Common Multiple of 26659 and 26672