What is the Greatest Common Factor of 9138 and 9156?

Greatest common factor (GCF) of 9138 and 9156 is 6.

GCF(9138,9156) = 6

We will now calculate the prime factors of 9138 and 9156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9138 and 9156.

How to find the GCF of 9138 and 9156?

We will first find the prime factorization of 9138 and 9156. After we will calculate the factors of 9138 and 9156 and find the biggest common factor number .

Step-1: Prime Factorization of 9138

Prime factors of 9138 are 2, 3, 1523. Prime factorization of 9138 in exponential form is:

9138 = 2¹ × 3¹ × 1523¹

Step-2: Prime Factorization of 9156

Prime factors of 9156 are 2, 3, 7, 109. Prime factorization of 9156 in exponential form is:

9156 = 2² × 3¹ × 7¹ × 109¹

Step-3: Factors of 9138

List of positive integer factors of 9138 that divides 9138 without a remainder.

1, 2, 3, 6, 1523, 3046, 4569

Step-4: Factors of 9156

List of positive integer factors of 9156 that divides 9138 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 109, 218, 327, 436, 654, 763, 1308, 1526, 2289, 3052, 4578

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9138 and 9156. The biggest common factor number is the GCF number.
So the greatest common factor 9138 and 9156 is 6.

Also check out the Least Common Multiple of 9138 and 9156