What is the Greatest Common Factor of 45664 and 45671?

Greatest common factor (GCF) of 45664 and 45671 is 1.

GCF(45664,45671) = 1

We will now calculate the prime factors of 45664 and 45671, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45664 and 45671.

How to find the GCF of 45664 and 45671?

We will first find the prime factorization of 45664 and 45671. After we will calculate the factors of 45664 and 45671 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 45671

Prime factors of 45671 are 109, 419. Prime factorization of 45671 in exponential form is:

45671 = 109¹ × 419¹

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 45671

List of positive integer factors of 45671 that divides 45664 without a remainder.

1, 109, 419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45664 and 45671. The biggest common factor number is the GCF number.
So the greatest common factor 45664 and 45671 is 1.

Also check out the Least Common Multiple of 45664 and 45671