What is the Greatest Common Factor of 12665 and 12675?

Greatest common factor (GCF) of 12665 and 12675 is 5.

GCF(12665,12675) = 5

We will now calculate the prime factors of 12665 and 12675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12665 and 12675.

How to find the GCF of 12665 and 12675?

We will first find the prime factorization of 12665 and 12675. After we will calculate the factors of 12665 and 12675 and find the biggest common factor number .

Step-1: Prime Factorization of 12665

Prime factors of 12665 are 5, 17, 149. Prime factorization of 12665 in exponential form is:

12665 = 5¹ × 17¹ × 149¹

Step-2: 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-3: Factors of 12665

List of positive integer factors of 12665 that divides 12665 without a remainder.

1, 5, 17, 85, 149, 745, 2533

Step-4: Factors of 12675

List of positive integer factors of 12675 that divides 12665 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12665 and 12675. The biggest common factor number is the GCF number.
So the greatest common factor 12665 and 12675 is 5.

Also check out the Least Common Multiple of 12665 and 12675