What is the Greatest Common Factor of 45800 and 45820?

Greatest common factor (GCF) of 45800 and 45820 is 20.

GCF(45800,45820) = 20

We will now calculate the prime factors of 45800 and 45820, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45800 and 45820.

How to find the GCF of 45800 and 45820?

We will first find the prime factorization of 45800 and 45820. After we will calculate the factors of 45800 and 45820 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 45820

Prime factors of 45820 are 2, 5, 29, 79. Prime factorization of 45820 in exponential form is:

45820 = 2² × 5¹ × 29¹ × 79¹

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 45820

List of positive integer factors of 45820 that divides 45800 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 79, 116, 145, 158, 290, 316, 395, 580, 790, 1580, 2291, 4582, 9164, 11455, 22910

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45800 and 45820. The biggest common factor number is the GCF number.
So the greatest common factor 45800 and 45820 is 20.

Also check out the Least Common Multiple of 45800 and 45820