What is the Greatest Common Factor of 9156 and 9166?

Greatest common factor (GCF) of 9156 and 9166 is 2.

GCF(9156,9166) = 2

We will now calculate the prime factors of 9156 and 9166, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9156 and 9166.

How to find the GCF of 9156 and 9166?

We will first find the prime factorization of 9156 and 9166. After we will calculate the factors of 9156 and 9166 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 9166

Prime factors of 9166 are 2, 4583. Prime factorization of 9166 in exponential form is:

9166 = 2¹ × 4583¹

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 9166

List of positive integer factors of 9166 that divides 9156 without a remainder.

1, 2, 4583

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9156 and 9166. The biggest common factor number is the GCF number.
So the greatest common factor 9156 and 9166 is 2.

Also check out the Least Common Multiple of 9156 and 9166