What is the Greatest Common Factor of 9125 and 9133?

Greatest common factor (GCF) of 9125 and 9133 is 1.

GCF(9125,9133) = 1

We will now calculate the prime factors of 9125 and 9133, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9125 and 9133.

How to find the GCF of 9125 and 9133?

We will first find the prime factorization of 9125 and 9133. After we will calculate the factors of 9125 and 9133 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 9133

Prime factors of 9133 are 9133. Prime factorization of 9133 in exponential form is:

9133 = 9133¹

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 9133

List of positive integer factors of 9133 that divides 9125 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9125 and 9133. The biggest common factor number is the GCF number.
So the greatest common factor 9125 and 9133 is 1.

Also check out the Least Common Multiple of 9125 and 9133