What is the Greatest Common Factor of 9125 and 9140?

Greatest common factor (GCF) of 9125 and 9140 is 5.

GCF(9125,9140) = 5

We will now calculate the prime factors of 9125 and 9140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9125 and 9140.

How to find the GCF of 9125 and 9140?

We will first find the prime factorization of 9125 and 9140. After we will calculate the factors of 9125 and 9140 and find the biggest common factor number .

Step-1: Prime Factorization of 9125

Prime factors of 9125 are 5, 73. Prime factorization of 9125 in exponential form is:

9125 = 5³ × 73¹

Step-2: Prime Factorization of 9140

Prime factors of 9140 are 2, 5, 457. Prime factorization of 9140 in exponential form is:

9140 = 2² × 5¹ × 457¹

Step-3: Factors of 9125

List of positive integer factors of 9125 that divides 9125 without a remainder.

1, 5, 25, 73, 125, 365, 1825

Step-4: Factors of 9140

List of positive integer factors of 9140 that divides 9125 without a remainder.

1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9125 and 9140. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9140 is 5.

Also check out the Least Common Multiple of 9125 and 9140