What is the Greatest Common Factor of 9149 and 9156?

Greatest common factor (GCF) of 9149 and 9156 is 7.

GCF(9149,9156) = 7

We will now calculate the prime factors of 9149 and 9156, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9149 and 9156.

How to find the GCF of 9149 and 9156?

We will first find the prime factorization of 9149 and 9156. After we will calculate the factors of 9149 and 9156 and find the biggest common factor number .

Step-1: Prime Factorization of 9149

Prime factors of 9149 are 7, 1307. Prime factorization of 9149 in exponential form is:

9149 = 7¹ × 1307¹

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 9149

List of positive integer factors of 9149 that divides 9149 without a remainder.

1, 7, 1307

Step-4: Factors of 9156

List of positive integer factors of 9156 that divides 9149 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 9149 and 9156. The biggest common factor number is the GCF number.
So the greatest common factor 9149 and 9156 is 7.

Also check out the Least Common Multiple of 9149 and 9156