What is the Greatest Common Factor of 45376 and 45392?

Greatest common factor (GCF) of 45376 and 45392 is 16.

GCF(45376,45392) = 16

We will now calculate the prime factors of 45376 and 45392, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45376 and 45392.

How to find the GCF of 45376 and 45392?

We will first find the prime factorization of 45376 and 45392. After we will calculate the factors of 45376 and 45392 and find the biggest common factor number .

Step-1: Prime Factorization of 45376

Prime factors of 45376 are 2, 709. Prime factorization of 45376 in exponential form is:

45376 = 2⁶ × 709¹

Step-2: Prime Factorization of 45392

Prime factors of 45392 are 2, 2837. Prime factorization of 45392 in exponential form is:

45392 = 2⁴ × 2837¹

Step-3: Factors of 45376

List of positive integer factors of 45376 that divides 45376 without a remainder.

1, 2, 4, 8, 16, 32, 64, 709, 1418, 2836, 5672, 11344, 22688

Step-4: Factors of 45392

List of positive integer factors of 45392 that divides 45376 without a remainder.

1, 2, 4, 8, 16, 2837, 5674, 11348, 22696

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45376 and 45392. The biggest common factor number is the GCF number.
So the greatest common factor 45376 and 45392 is 16.

Also check out the Least Common Multiple of 45376 and 45392