What is the Greatest Common Factor of 45572 and 45580?

Greatest common factor (GCF) of 45572 and 45580 is 4.

GCF(45572,45580) = 4

We will now calculate the prime factors of 45572 and 45580, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45572 and 45580.

How to find the GCF of 45572 and 45580?

We will first find the prime factorization of 45572 and 45580. After we will calculate the factors of 45572 and 45580 and find the biggest common factor number .

Step-1: Prime Factorization of 45572

Prime factors of 45572 are 2, 11393. Prime factorization of 45572 in exponential form is:

45572 = 2² × 11393¹

Step-2: Prime Factorization of 45580

Prime factors of 45580 are 2, 5, 43, 53. Prime factorization of 45580 in exponential form is:

45580 = 2² × 5¹ × 43¹ × 53¹

Step-3: Factors of 45572

List of positive integer factors of 45572 that divides 45572 without a remainder.

1, 2, 4, 11393, 22786

Step-4: Factors of 45580

List of positive integer factors of 45580 that divides 45572 without a remainder.

1, 2, 4, 5, 10, 20, 43, 53, 86, 106, 172, 212, 215, 265, 430, 530, 860, 1060, 2279, 4558, 9116, 11395, 22790

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45572 and 45580. The biggest common factor number is the GCF number.
So the greatest common factor 45572 and 45580 is 4.

Also check out the Least Common Multiple of 45572 and 45580