What is the Greatest Common Factor of 45800 and 45812?

Greatest common factor (GCF) of 45800 and 45812 is 4.

GCF(45800,45812) = 4

We will now calculate the prime factors of 45800 and 45812, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45800 and 45812.

How to find the GCF of 45800 and 45812?

We will first find the prime factorization of 45800 and 45812. After we will calculate the factors of 45800 and 45812 and find the biggest common factor number .

Step-1: Prime Factorization of 45800

Prime factors of 45800 are 2, 5, 229. Prime factorization of 45800 in exponential form is:

45800 = 2³ × 5² × 229¹

Step-2: Prime Factorization of 45812

Prime factors of 45812 are 2, 13, 881. Prime factorization of 45812 in exponential form is:

45812 = 2² × 13¹ × 881¹

Step-3: Factors of 45800

List of positive integer factors of 45800 that divides 45800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 229, 458, 916, 1145, 1832, 2290, 4580, 5725, 9160, 11450, 22900

Step-4: Factors of 45812

List of positive integer factors of 45812 that divides 45800 without a remainder.

1, 2, 4, 13, 26, 52, 881, 1762, 3524, 11453, 22906

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45800 and 45812. The biggest common factor number is the GCF number.
So the greatest common factor 45800 and 45812 is 4.

Also check out the Least Common Multiple of 45800 and 45812