What is the Greatest Common Factor of 45152 and 45165?

Greatest common factor (GCF) of 45152 and 45165 is 1.

GCF(45152,45165) = 1

We will now calculate the prime factors of 45152 and 45165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45152 and 45165.

How to find the GCF of 45152 and 45165?

We will first find the prime factorization of 45152 and 45165. After we will calculate the factors of 45152 and 45165 and find the biggest common factor number .

Step-1: Prime Factorization of 45152

Prime factors of 45152 are 2, 17, 83. Prime factorization of 45152 in exponential form is:

45152 = 2⁵ × 17¹ × 83¹

Step-2: Prime Factorization of 45165

Prime factors of 45165 are 3, 5, 3011. Prime factorization of 45165 in exponential form is:

45165 = 3¹ × 5¹ × 3011¹

Step-3: Factors of 45152

List of positive integer factors of 45152 that divides 45152 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 68, 83, 136, 166, 272, 332, 544, 664, 1328, 1411, 2656, 2822, 5644, 11288, 22576

Step-4: Factors of 45165

List of positive integer factors of 45165 that divides 45152 without a remainder.

1, 3, 5, 15, 3011, 9033, 15055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45152 and 45165. The biggest common factor number is the GCF number.
So the greatest common factor 45152 and 45165 is 1.

Also check out the Least Common Multiple of 45152 and 45165