What is the Greatest Common Factor of 45604 and 45610?

Greatest common factor (GCF) of 45604 and 45610 is 2.

GCF(45604,45610) = 2

We will now calculate the prime factors of 45604 and 45610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45604 and 45610.

How to find the GCF of 45604 and 45610?

We will first find the prime factorization of 45604 and 45610. After we will calculate the factors of 45604 and 45610 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 45610

Prime factors of 45610 are 2, 5, 4561. Prime factorization of 45610 in exponential form is:

45610 = 2¹ × 5¹ × 4561¹

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 45610

List of positive integer factors of 45610 that divides 45604 without a remainder.

1, 2, 5, 10, 4561, 9122, 22805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45604 and 45610. The biggest common factor number is the GCF number.
So the greatest common factor 45604 and 45610 is 2.

Also check out the Least Common Multiple of 45604 and 45610