What is the Greatest Common Factor of 45604 and 45608?

Greatest common factor (GCF) of 45604 and 45608 is 4.

GCF(45604,45608) = 4

We will now calculate the prime factors of 45604 and 45608, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45604 and 45608.

How to find the GCF of 45604 and 45608?

We will first find the prime factorization of 45604 and 45608. After we will calculate the factors of 45604 and 45608 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 45608

Prime factors of 45608 are 2, 5701. Prime factorization of 45608 in exponential form is:

45608 = 2³ × 5701¹

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 45608

List of positive integer factors of 45608 that divides 45604 without a remainder.

1, 2, 4, 8, 5701, 11402, 22804

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45604 and 45608. The biggest common factor number is the GCF number.
So the greatest common factor 45604 and 45608 is 4.

Also check out the Least Common Multiple of 45604 and 45608