What is the Greatest Common Factor of 24125 and 24130?

Greatest common factor (GCF) of 24125 and 24130 is 5.

GCF(24125,24130) = 5

We will now calculate the prime factors of 24125 and 24130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24125 and 24130.

How to find the GCF of 24125 and 24130?

We will first find the prime factorization of 24125 and 24130. After we will calculate the factors of 24125 and 24130 and find the biggest common factor number .

Step-1: Prime Factorization of 24125

Prime factors of 24125 are 5, 193. Prime factorization of 24125 in exponential form is:

24125 = 5³ × 193¹

Step-2: Prime Factorization of 24130

Prime factors of 24130 are 2, 5, 19, 127. Prime factorization of 24130 in exponential form is:

24130 = 2¹ × 5¹ × 19¹ × 127¹

Step-3: Factors of 24125

List of positive integer factors of 24125 that divides 24125 without a remainder.

1, 5, 25, 125, 193, 965, 4825

Step-4: Factors of 24130

List of positive integer factors of 24130 that divides 24125 without a remainder.

1, 2, 5, 10, 19, 38, 95, 127, 190, 254, 635, 1270, 2413, 4826, 12065

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24125 and 24130. The biggest common factor number is the GCF number.
So the greatest common factor 24125 and 24130 is 5.

Also check out the Least Common Multiple of 24125 and 24130