What is the Greatest Common Factor of 45616 and 45635?

Greatest common factor (GCF) of 45616 and 45635 is 1.

GCF(45616,45635) = 1

We will now calculate the prime factors of 45616 and 45635, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45616 and 45635.

How to find the GCF of 45616 and 45635?

We will first find the prime factorization of 45616 and 45635. After we will calculate the factors of 45616 and 45635 and find the biggest common factor number .

Step-1: Prime Factorization of 45616

Prime factors of 45616 are 2, 2851. Prime factorization of 45616 in exponential form is:

45616 = 2⁴ × 2851¹

Step-2: Prime Factorization of 45635

Prime factors of 45635 are 5, 9127. Prime factorization of 45635 in exponential form is:

45635 = 5¹ × 9127¹

Step-3: Factors of 45616

List of positive integer factors of 45616 that divides 45616 without a remainder.

1, 2, 4, 8, 16, 2851, 5702, 11404, 22808

Step-4: Factors of 45635

List of positive integer factors of 45635 that divides 45616 without a remainder.

1, 5, 9127

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45616 and 45635. The biggest common factor number is the GCF number.
So the greatest common factor 45616 and 45635 is 1.

Also check out the Least Common Multiple of 45616 and 45635