What is the Greatest Common Factor of 45312 and 45328?

Greatest common factor (GCF) of 45312 and 45328 is 16.

GCF(45312,45328) = 16

We will now calculate the prime factors of 45312 and 45328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45312 and 45328.

How to find the GCF of 45312 and 45328?

We will first find the prime factorization of 45312 and 45328. After we will calculate the factors of 45312 and 45328 and find the biggest common factor number .

Step-1: Prime Factorization of 45312

Prime factors of 45312 are 2, 3, 59. Prime factorization of 45312 in exponential form is:

45312 = 2⁸ × 3¹ × 59¹

Step-2: Prime Factorization of 45328

Prime factors of 45328 are 2, 2833. Prime factorization of 45328 in exponential form is:

45328 = 2⁴ × 2833¹

Step-3: Factors of 45312

List of positive integer factors of 45312 that divides 45312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 59, 64, 96, 118, 128, 177, 192, 236, 256, 354, 384, 472, 708, 768, 944, 1416, 1888, 2832, 3776, 5664, 7552, 11328, 15104, 22656

Step-4: Factors of 45328

List of positive integer factors of 45328 that divides 45312 without a remainder.

1, 2, 4, 8, 16, 2833, 5666, 11332, 22664

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45312 and 45328. The biggest common factor number is the GCF number.
So the greatest common factor 45312 and 45328 is 16.

Also check out the Least Common Multiple of 45312 and 45328