What is the Greatest Common Factor of 45664 and 45680?

Greatest common factor (GCF) of 45664 and 45680 is 16.

GCF(45664,45680) = 16

We will now calculate the prime factors of 45664 and 45680, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45664 and 45680.

How to find the GCF of 45664 and 45680?

We will first find the prime factorization of 45664 and 45680. After we will calculate the factors of 45664 and 45680 and find the biggest common factor number .

Step-1: Prime Factorization of 45664

Prime factors of 45664 are 2, 1427. Prime factorization of 45664 in exponential form is:

45664 = 2⁵ × 1427¹

Step-2: Prime Factorization of 45680

Prime factors of 45680 are 2, 5, 571. Prime factorization of 45680 in exponential form is:

45680 = 2⁴ × 5¹ × 571¹

Step-3: Factors of 45664

List of positive integer factors of 45664 that divides 45664 without a remainder.

1, 2, 4, 8, 16, 32, 1427, 2854, 5708, 11416, 22832

Step-4: Factors of 45680

List of positive integer factors of 45680 that divides 45664 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 571, 1142, 2284, 2855, 4568, 5710, 9136, 11420, 22840

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45664 and 45680. The biggest common factor number is the GCF number.
So the greatest common factor 45664 and 45680 is 16.

Also check out the Least Common Multiple of 45664 and 45680