What is the Greatest Common Factor of 45125 and 45130?

Greatest common factor (GCF) of 45125 and 45130 is 5.

GCF(45125,45130) = 5

We will now calculate the prime factors of 45125 and 45130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45125 and 45130.

How to find the GCF of 45125 and 45130?

We will first find the prime factorization of 45125 and 45130. After we will calculate the factors of 45125 and 45130 and find the biggest common factor number .

Step-1: Prime Factorization of 45125

Prime factors of 45125 are 5, 19. Prime factorization of 45125 in exponential form is:

45125 = 5³ × 19²

Step-2: Prime Factorization of 45130

Prime factors of 45130 are 2, 5, 4513. Prime factorization of 45130 in exponential form is:

45130 = 2¹ × 5¹ × 4513¹

Step-3: Factors of 45125

List of positive integer factors of 45125 that divides 45125 without a remainder.

1, 5, 19, 25, 95, 125, 361, 475, 1805, 2375, 9025

Step-4: Factors of 45130

List of positive integer factors of 45130 that divides 45125 without a remainder.

1, 2, 5, 10, 4513, 9026, 22565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45125 and 45130. The biggest common factor number is the GCF number.
So the greatest common factor 45125 and 45130 is 5.

Also check out the Least Common Multiple of 45125 and 45130