What is the Greatest Common Factor of 45152 and 45168?

Greatest common factor (GCF) of 45152 and 45168 is 16.

GCF(45152,45168) = 16

We will now calculate the prime factors of 45152 and 45168, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45152 and 45168.

How to find the GCF of 45152 and 45168?

We will first find the prime factorization of 45152 and 45168. After we will calculate the factors of 45152 and 45168 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 45168

Prime factors of 45168 are 2, 3, 941. Prime factorization of 45168 in exponential form is:

45168 = 2⁴ × 3¹ × 941¹

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 45168

List of positive integer factors of 45168 that divides 45152 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 941, 1882, 2823, 3764, 5646, 7528, 11292, 15056, 22584

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45152 and 45168. The biggest common factor number is the GCF number.
So the greatest common factor 45152 and 45168 is 16.

Also check out the Least Common Multiple of 45152 and 45168