What is the Greatest Common Factor of 45604 and 45616?

Greatest common factor (GCF) of 45604 and 45616 is 4.

GCF(45604,45616) = 4

We will now calculate the prime factors of 45604 and 45616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45604 and 45616.

How to find the GCF of 45604 and 45616?

We will first find the prime factorization of 45604 and 45616. After we will calculate the factors of 45604 and 45616 and find the biggest common factor number .

Step-1: Prime Factorization of 45604

Prime factors of 45604 are 2, 13, 877. Prime factorization of 45604 in exponential form is:

45604 = 2² × 13¹ × 877¹

Step-2: Prime Factorization of 45616

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

45616 = 2⁴ × 2851¹

Step-3: Factors of 45604

List of positive integer factors of 45604 that divides 45604 without a remainder.

1, 2, 4, 13, 26, 52, 877, 1754, 3508, 11401, 22802

Step-4: Factors of 45616

List of positive integer factors of 45616 that divides 45604 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45604 and 45616. The biggest common factor number is the GCF number.
So the greatest common factor 45604 and 45616 is 4.

Also check out the Least Common Multiple of 45604 and 45616