What is the Greatest Common Factor of 23125 and 23133?

Greatest common factor (GCF) of 23125 and 23133 is 1.

GCF(23125,23133) = 1

We will now calculate the prime factors of 23125 and 23133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23125 and 23133.

How to find the GCF of 23125 and 23133?

We will first find the prime factorization of 23125 and 23133. After we will calculate the factors of 23125 and 23133 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 23133

Prime factors of 23133 are 3, 11, 701. Prime factorization of 23133 in exponential form is:

23133 = 3¹ × 11¹ × 701¹

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 23133

List of positive integer factors of 23133 that divides 23125 without a remainder.

1, 3, 11, 33, 701, 2103, 7711

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23125 and 23133. The biggest common factor number is the GCF number.
So the greatest common factor 23125 and 23133 is 1.

Also check out the Least Common Multiple of 23125 and 23133