What is the Greatest Common Factor of 23125 and 23130?

Greatest common factor (GCF) of 23125 and 23130 is 5.

GCF(23125,23130) = 5

We will now calculate the prime factors of 23125 and 23130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23125 and 23130.

How to find the GCF of 23125 and 23130?

We will first find the prime factorization of 23125 and 23130. After we will calculate the factors of 23125 and 23130 and find the biggest common factor number .

Step-1: Prime Factorization of 23125

Prime factors of 23125 are 5, 37. Prime factorization of 23125 in exponential form is:

23125 = 5⁴ × 37¹

Step-2: Prime Factorization of 23130

Prime factors of 23130 are 2, 3, 5, 257. Prime factorization of 23130 in exponential form is:

23130 = 2¹ × 3² × 5¹ × 257¹

Step-3: Factors of 23125

List of positive integer factors of 23125 that divides 23125 without a remainder.

1, 5, 25, 37, 125, 185, 625, 925, 4625

Step-4: Factors of 23130

List of positive integer factors of 23130 that divides 23125 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 257, 514, 771, 1285, 1542, 2313, 2570, 3855, 4626, 7710, 11565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23125 and 23130. The biggest common factor number is the GCF number.
So the greatest common factor 23125 and 23130 is 5.

Also check out the Least Common Multiple of 23125 and 23130