What is the Greatest Common Factor of 9156 and 9176?

Greatest common factor (GCF) of 9156 and 9176 is 4.

GCF(9156,9176) = 4

We will now calculate the prime factors of 9156 and 9176, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9156 and 9176.

How to find the GCF of 9156 and 9176?

We will first find the prime factorization of 9156 and 9176. After we will calculate the factors of 9156 and 9176 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 9176

Prime factors of 9176 are 2, 31, 37. Prime factorization of 9176 in exponential form is:

9176 = 2³ × 31¹ × 37¹

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 9176

List of positive integer factors of 9176 that divides 9156 without a remainder.

1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9156 and 9176. The biggest common factor number is the GCF number.
So the greatest common factor 9156 and 9176 is 4.

Also check out the Least Common Multiple of 9156 and 9176