What is the Greatest Common Factor of 12125 and 12130?

Greatest common factor (GCF) of 12125 and 12130 is 5.

GCF(12125,12130) = 5

We will now calculate the prime factors of 12125 and 12130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12125 and 12130.

How to find the GCF of 12125 and 12130?

We will first find the prime factorization of 12125 and 12130. After we will calculate the factors of 12125 and 12130 and find the biggest common factor number .

Step-1: Prime Factorization of 12125

Prime factors of 12125 are 5, 97. Prime factorization of 12125 in exponential form is:

12125 = 5³ × 97¹

Step-2: Prime Factorization of 12130

Prime factors of 12130 are 2, 5, 1213. Prime factorization of 12130 in exponential form is:

12130 = 2¹ × 5¹ × 1213¹

Step-3: Factors of 12125

List of positive integer factors of 12125 that divides 12125 without a remainder.

1, 5, 25, 97, 125, 485, 2425

Step-4: Factors of 12130

List of positive integer factors of 12130 that divides 12125 without a remainder.

1, 2, 5, 10, 1213, 2426, 6065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12125 and 12130. The biggest common factor number is the GCF number.
So the greatest common factor 12125 and 12130 is 5.

Also check out the Least Common Multiple of 12125 and 12130