What is the Greatest Common Factor of 9114 and 9123?

Greatest common factor (GCF) of 9114 and 9123 is 3.

GCF(9114,9123) = 3

We will now calculate the prime factors of 9114 and 9123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9114 and 9123.

How to find the GCF of 9114 and 9123?

We will first find the prime factorization of 9114 and 9123. After we will calculate the factors of 9114 and 9123 and find the biggest common factor number .

Step-1: Prime Factorization of 9114

Prime factors of 9114 are 2, 3, 7, 31. Prime factorization of 9114 in exponential form is:

9114 = 2¹ × 3¹ × 7² × 31¹

Step-2: Prime Factorization of 9123

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

9123 = 3¹ × 3041¹

Step-3: Factors of 9114

List of positive integer factors of 9114 that divides 9114 without a remainder.

1, 2, 3, 6, 7, 14, 21, 31, 42, 49, 62, 93, 98, 147, 186, 217, 294, 434, 651, 1302, 1519, 3038, 4557

Step-4: Factors of 9123

List of positive integer factors of 9123 that divides 9114 without a remainder.

1, 3, 3041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9114 and 9123. The biggest common factor number is the GCF number.
So the greatest common factor 9114 and 9123 is 3.

Also check out the Least Common Multiple of 9114 and 9123