What is the Greatest Common Factor of 9152 and 9162?

Greatest common factor (GCF) of 9152 and 9162 is 2.

GCF(9152,9162) = 2

We will now calculate the prime factors of 9152 and 9162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9152 and 9162.

How to find the GCF of 9152 and 9162?

We will first find the prime factorization of 9152 and 9162. After we will calculate the factors of 9152 and 9162 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 9162

Prime factors of 9162 are 2, 3, 509. Prime factorization of 9162 in exponential form is:

9162 = 2¹ × 3² × 509¹

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 9162

List of positive integer factors of 9162 that divides 9152 without a remainder.

1, 2, 3, 6, 9, 18, 509, 1018, 1527, 3054, 4581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9152 and 9162. The biggest common factor number is the GCF number.
So the greatest common factor 9152 and 9162 is 2.

Also check out the Least Common Multiple of 9152 and 9162