What is the Greatest Common Factor of 9114 and 9132?

Greatest common factor (GCF) of 9114 and 9132 is 6.

GCF(9114,9132) = 6

We will now calculate the prime factors of 9114 and 9132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9114 and 9132.

How to find the GCF of 9114 and 9132?

We will first find the prime factorization of 9114 and 9132. After we will calculate the factors of 9114 and 9132 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 9132

Prime factors of 9132 are 2, 3, 761. Prime factorization of 9132 in exponential form is:

9132 = 2² × 3¹ × 761¹

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 9132

List of positive integer factors of 9132 that divides 9114 without a remainder.

1, 2, 3, 4, 6, 12, 761, 1522, 2283, 3044, 4566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9114 and 9132. The biggest common factor number is the GCF number.
So the greatest common factor 9114 and 9132 is 6.

Also check out the Least Common Multiple of 9114 and 9132