What is the Greatest Common Factor of 45556 and 45572?

Greatest common factor (GCF) of 45556 and 45572 is 4.

GCF(45556,45572) = 4

We will now calculate the prime factors of 45556 and 45572, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45556 and 45572.

How to find the GCF of 45556 and 45572?

We will first find the prime factorization of 45556 and 45572. After we will calculate the factors of 45556 and 45572 and find the biggest common factor number .

Step-1: Prime Factorization of 45556

Prime factors of 45556 are 2, 7, 1627. Prime factorization of 45556 in exponential form is:

45556 = 2² × 7¹ × 1627¹

Step-2: Prime Factorization of 45572

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

45572 = 2² × 11393¹

Step-3: Factors of 45556

List of positive integer factors of 45556 that divides 45556 without a remainder.

1, 2, 4, 7, 14, 28, 1627, 3254, 6508, 11389, 22778

Step-4: Factors of 45572

List of positive integer factors of 45572 that divides 45556 without a remainder.

1, 2, 4, 11393, 22786

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45556 and 45572. The biggest common factor number is the GCF number.
So the greatest common factor 45556 and 45572 is 4.

Also check out the Least Common Multiple of 45556 and 45572