What is the Greatest Common Factor of 12565 and 12572?

Greatest common factor (GCF) of 12565 and 12572 is 7.

GCF(12565,12572) = 7

We will now calculate the prime factors of 12565 and 12572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12565 and 12572.

How to find the GCF of 12565 and 12572?

We will first find the prime factorization of 12565 and 12572. After we will calculate the factors of 12565 and 12572 and find the biggest common factor number .

Step-1: Prime Factorization of 12565

Prime factors of 12565 are 5, 7, 359. Prime factorization of 12565 in exponential form is:

12565 = 5¹ × 7¹ × 359¹

Step-2: Prime Factorization of 12572

Prime factors of 12572 are 2, 7, 449. Prime factorization of 12572 in exponential form is:

12572 = 2² × 7¹ × 449¹

Step-3: Factors of 12565

List of positive integer factors of 12565 that divides 12565 without a remainder.

1, 5, 7, 35, 359, 1795, 2513

Step-4: Factors of 12572

List of positive integer factors of 12572 that divides 12565 without a remainder.

1, 2, 4, 7, 14, 28, 449, 898, 1796, 3143, 6286

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12565 and 12572. The biggest common factor number is the GCF number.
So the greatest common factor 12565 and 12572 is 7.

Also check out the Least Common Multiple of 12565 and 12572