What is the Greatest Common Factor of 45020 and 45036?

Greatest common factor (GCF) of 45020 and 45036 is 4.

GCF(45020,45036) = 4

We will now calculate the prime factors of 45020 and 45036, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45020 and 45036.

How to find the GCF of 45020 and 45036?

We will first find the prime factorization of 45020 and 45036. After we will calculate the factors of 45020 and 45036 and find the biggest common factor number .

Step-1: Prime Factorization of 45020

Prime factors of 45020 are 2, 5, 2251. Prime factorization of 45020 in exponential form is:

45020 = 2² × 5¹ × 2251¹

Step-2: Prime Factorization of 45036

Prime factors of 45036 are 2, 3, 139. Prime factorization of 45036 in exponential form is:

45036 = 2² × 3⁴ × 139¹

Step-3: Factors of 45020

List of positive integer factors of 45020 that divides 45020 without a remainder.

1, 2, 4, 5, 10, 20, 2251, 4502, 9004, 11255, 22510

Step-4: Factors of 45036

List of positive integer factors of 45036 that divides 45020 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 139, 162, 278, 324, 417, 556, 834, 1251, 1668, 2502, 3753, 5004, 7506, 11259, 15012, 22518

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45020 and 45036. The biggest common factor number is the GCF number.
So the greatest common factor 45020 and 45036 is 4.

Also check out the Least Common Multiple of 45020 and 45036