What is the Greatest Common Factor of 9123 and 9135?

Greatest common factor (GCF) of 9123 and 9135 is 3.

GCF(9123,9135) = 3

We will now calculate the prime factors of 9123 and 9135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9123 and 9135.

How to find the GCF of 9123 and 9135?

We will first find the prime factorization of 9123 and 9135. After we will calculate the factors of 9123 and 9135 and find the biggest common factor number .

Step-1: Prime Factorization of 9123

Prime factors of 9123 are 3, 3041. Prime factorization of 9123 in exponential form is:

9123 = 3¹ × 3041¹

Step-2: Prime Factorization of 9135

Prime factors of 9135 are 3, 5, 7, 29. Prime factorization of 9135 in exponential form is:

9135 = 3² × 5¹ × 7¹ × 29¹

Step-3: Factors of 9123

List of positive integer factors of 9123 that divides 9123 without a remainder.

1, 3, 3041

Step-4: Factors of 9135

List of positive integer factors of 9135 that divides 9123 without a remainder.

1, 3, 5, 7, 9, 15, 21, 29, 35, 45, 63, 87, 105, 145, 203, 261, 315, 435, 609, 1015, 1305, 1827, 3045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9123 and 9135. The biggest common factor number is the GCF number.
So the greatest common factor 9123 and 9135 is 3.

Also check out the Least Common Multiple of 9123 and 9135