What is the Greatest Common Factor of 23120 and 23125?

Greatest common factor (GCF) of 23120 and 23125 is 5.

GCF(23120,23125) = 5

We will now calculate the prime factors of 23120 and 23125, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23120 and 23125.

How to find the GCF of 23120 and 23125?

We will first find the prime factorization of 23120 and 23125. After we will calculate the factors of 23120 and 23125 and find the biggest common factor number .

Step-1: Prime Factorization of 23120

Prime factors of 23120 are 2, 5, 17. Prime factorization of 23120 in exponential form is:

23120 = 2⁴ × 5¹ × 17²

Step-2: Prime Factorization of 23125

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

23125 = 5⁴ × 37¹

Step-3: Factors of 23120

List of positive integer factors of 23120 that divides 23120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 68, 80, 85, 136, 170, 272, 289, 340, 578, 680, 1156, 1360, 1445, 2312, 2890, 4624, 5780, 11560

Step-4: Factors of 23125

List of positive integer factors of 23125 that divides 23120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23120 and 23125. The biggest common factor number is the GCF number.
So the greatest common factor 23120 and 23125 is 5.

Also check out the Least Common Multiple of 23120 and 23125