What is the Greatest Common Factor of 9152 and 9163?

Greatest common factor (GCF) of 9152 and 9163 is 11.

GCF(9152,9163) = 11

We will now calculate the prime factors of 9152 and 9163, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9152 and 9163.

How to find the GCF of 9152 and 9163?

We will first find the prime factorization of 9152 and 9163. After we will calculate the factors of 9152 and 9163 and find the biggest common factor number .

Step-1: Prime Factorization of 9152

Prime factors of 9152 are 2, 11, 13. Prime factorization of 9152 in exponential form is:

9152 = 2⁶ × 11¹ × 13¹

Step-2: Prime Factorization of 9163

Prime factors of 9163 are 7, 11, 17. Prime factorization of 9163 in exponential form is:

9163 = 7² × 11¹ × 17¹

Step-3: Factors of 9152

List of positive integer factors of 9152 that divides 9152 without a remainder.

1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 64, 88, 104, 143, 176, 208, 286, 352, 416, 572, 704, 832, 1144, 2288, 4576

Step-4: Factors of 9163

List of positive integer factors of 9163 that divides 9152 without a remainder.

1, 7, 11, 17, 49, 77, 119, 187, 539, 833, 1309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9152 and 9163. The biggest common factor number is the GCF number.
So the greatest common factor 9152 and 9163 is 11.

Also check out the Least Common Multiple of 9152 and 9163