What is the Greatest Common Factor of 12875 and 12895?

Greatest common factor (GCF) of 12875 and 12895 is 5.

GCF(12875,12895) = 5

We will now calculate the prime factors of 12875 and 12895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12875 and 12895.

How to find the GCF of 12875 and 12895?

We will first find the prime factorization of 12875 and 12895. After we will calculate the factors of 12875 and 12895 and find the biggest common factor number .

Step-1: Prime Factorization of 12875

Prime factors of 12875 are 5, 103. Prime factorization of 12875 in exponential form is:

12875 = 5³ × 103¹

Step-2: Prime Factorization of 12895

Prime factors of 12895 are 5, 2579. Prime factorization of 12895 in exponential form is:

12895 = 5¹ × 2579¹

Step-3: Factors of 12875

List of positive integer factors of 12875 that divides 12875 without a remainder.

1, 5, 25, 103, 125, 515, 2575

Step-4: Factors of 12895

List of positive integer factors of 12895 that divides 12875 without a remainder.

1, 5, 2579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12875 and 12895. The biggest common factor number is the GCF number.
So the greatest common factor 12875 and 12895 is 5.

Also check out the Least Common Multiple of 12875 and 12895