What is the Greatest Common Factor of 26675 and 26687?

Greatest common factor (GCF) of 26675 and 26687 is 1.

GCF(26675,26687) = 1

We will now calculate the prime factors of 26675 and 26687, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26675 and 26687.

How to find the GCF of 26675 and 26687?

We will first find the prime factorization of 26675 and 26687. After we will calculate the factors of 26675 and 26687 and find the biggest common factor number .

Step-1: Prime Factorization of 26675

Prime factors of 26675 are 5, 11, 97. Prime factorization of 26675 in exponential form is:

26675 = 5² × 11¹ × 97¹

Step-2: Prime Factorization of 26687

Prime factors of 26687 are 26687. Prime factorization of 26687 in exponential form is:

26687 = 26687¹

Step-3: Factors of 26675

List of positive integer factors of 26675 that divides 26675 without a remainder.

1, 5, 11, 25, 55, 97, 275, 485, 1067, 2425, 5335

Step-4: Factors of 26687

List of positive integer factors of 26687 that divides 26675 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26675 and 26687. The biggest common factor number is the GCF number.
So the greatest common factor 26675 and 26687 is 1.

Also check out the Least Common Multiple of 26675 and 26687