What is the Greatest Common Factor of 12675 and 12695?

Greatest common factor (GCF) of 12675 and 12695 is 5.

GCF(12675,12695) = 5

We will now calculate the prime factors of 12675 and 12695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12675 and 12695.

How to find the GCF of 12675 and 12695?

We will first find the prime factorization of 12675 and 12695. After we will calculate the factors of 12675 and 12695 and find the biggest common factor number .

Step-1: Prime Factorization of 12675

Prime factors of 12675 are 3, 5, 13. Prime factorization of 12675 in exponential form is:

12675 = 3¹ × 5² × 13²

Step-2: Prime Factorization of 12695

Prime factors of 12695 are 5, 2539. Prime factorization of 12695 in exponential form is:

12695 = 5¹ × 2539¹

Step-3: Factors of 12675

List of positive integer factors of 12675 that divides 12675 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 169, 195, 325, 507, 845, 975, 2535, 4225

Step-4: Factors of 12695

List of positive integer factors of 12695 that divides 12675 without a remainder.

1, 5, 2539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12675 and 12695. The biggest common factor number is the GCF number.
So the greatest common factor 12675 and 12695 is 5.

Also check out the Least Common Multiple of 12675 and 12695