What is the Greatest Common Factor of 26675 and 26686?

Greatest common factor (GCF) of 26675 and 26686 is 11.

GCF(26675,26686) = 11

We will now calculate the prime factors of 26675 and 26686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26675 and 26686.

How to find the GCF of 26675 and 26686?

We will first find the prime factorization of 26675 and 26686. After we will calculate the factors of 26675 and 26686 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 26686

Prime factors of 26686 are 2, 11, 1213. Prime factorization of 26686 in exponential form is:

26686 = 2¹ × 11¹ × 1213¹

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 26686

List of positive integer factors of 26686 that divides 26675 without a remainder.

1, 2, 11, 22, 1213, 2426, 13343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26675 and 26686. The biggest common factor number is the GCF number.
So the greatest common factor 26675 and 26686 is 11.

Also check out the Least Common Multiple of 26675 and 26686