What is the Greatest Common Factor of 26675 and 26695?

Greatest common factor (GCF) of 26675 and 26695 is 5.

GCF(26675,26695) = 5

We will now calculate the prime factors of 26675 and 26695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26675 and 26695.

How to find the GCF of 26675 and 26695?

We will first find the prime factorization of 26675 and 26695. After we will calculate the factors of 26675 and 26695 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 26695

Prime factors of 26695 are 5, 19, 281. Prime factorization of 26695 in exponential form is:

26695 = 5¹ × 19¹ × 281¹

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 26695

List of positive integer factors of 26695 that divides 26675 without a remainder.

1, 5, 19, 95, 281, 1405, 5339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26675 and 26695. The biggest common factor number is the GCF number.
So the greatest common factor 26675 and 26695 is 5.

Also check out the Least Common Multiple of 26675 and 26695