What is the Greatest Common Factor of 23125 and 23137?

Greatest common factor (GCF) of 23125 and 23137 is 1.

GCF(23125,23137) = 1

We will now calculate the prime factors of 23125 and 23137, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23125 and 23137.

How to find the GCF of 23125 and 23137?

We will first find the prime factorization of 23125 and 23137. After we will calculate the factors of 23125 and 23137 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 23137

Prime factors of 23137 are 17, 1361. Prime factorization of 23137 in exponential form is:

23137 = 17¹ × 1361¹

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 23137

List of positive integer factors of 23137 that divides 23125 without a remainder.

1, 17, 1361

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23125 and 23137. The biggest common factor number is the GCF number.
So the greatest common factor 23125 and 23137 is 1.

Also check out the Least Common Multiple of 23125 and 23137