What is the Greatest Common Factor of 9156 and 9174?

Greatest common factor (GCF) of 9156 and 9174 is 6.

GCF(9156,9174) = 6

We will now calculate the prime factors of 9156 and 9174, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9156 and 9174.

How to find the GCF of 9156 and 9174?

We will first find the prime factorization of 9156 and 9174. After we will calculate the factors of 9156 and 9174 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 9174

Prime factors of 9174 are 2, 3, 11, 139. Prime factorization of 9174 in exponential form is:

9174 = 2¹ × 3¹ × 11¹ × 139¹

Step-3: Factors of 9156

List of positive integer factors of 9156 that divides 9156 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

Step-4: Factors of 9174

List of positive integer factors of 9174 that divides 9156 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 139, 278, 417, 834, 1529, 3058, 4587

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9156 and 9174. The biggest common factor number is the GCF number.
So the greatest common factor 9156 and 9174 is 6.

Also check out the Least Common Multiple of 9156 and 9174