What is the Greatest Common Factor of 45646 and 45664?

Greatest common factor (GCF) of 45646 and 45664 is 2.

GCF(45646,45664) = 2

We will now calculate the prime factors of 45646 and 45664, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45646 and 45664.

How to find the GCF of 45646 and 45664?

We will first find the prime factorization of 45646 and 45664. After we will calculate the factors of 45646 and 45664 and find the biggest common factor number .

Step-1: Prime Factorization of 45646

Prime factors of 45646 are 2, 29, 787. Prime factorization of 45646 in exponential form is:

45646 = 2¹ × 29¹ × 787¹

Step-2: Prime Factorization of 45664

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

45664 = 2⁵ × 1427¹

Step-3: Factors of 45646

List of positive integer factors of 45646 that divides 45646 without a remainder.

1, 2, 29, 58, 787, 1574, 22823

Step-4: Factors of 45664

List of positive integer factors of 45664 that divides 45646 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45646 and 45664. The biggest common factor number is the GCF number.
So the greatest common factor 45646 and 45664 is 2.

Also check out the Least Common Multiple of 45646 and 45664