What is the Greatest Common Factor of 45596 and 45612?

Greatest common factor (GCF) of 45596 and 45612 is 4.

GCF(45596,45612) = 4

We will now calculate the prime factors of 45596 and 45612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45596 and 45612.

How to find the GCF of 45596 and 45612?

We will first find the prime factorization of 45596 and 45612. After we will calculate the factors of 45596 and 45612 and find the biggest common factor number .

Step-1: Prime Factorization of 45596

Prime factors of 45596 are 2, 11399. Prime factorization of 45596 in exponential form is:

45596 = 2² × 11399¹

Step-2: Prime Factorization of 45612

Prime factors of 45612 are 2, 3, 7, 181. Prime factorization of 45612 in exponential form is:

45612 = 2² × 3² × 7¹ × 181¹

Step-3: Factors of 45596

List of positive integer factors of 45596 that divides 45596 without a remainder.

1, 2, 4, 11399, 22798

Step-4: Factors of 45612

List of positive integer factors of 45612 that divides 45596 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 181, 252, 362, 543, 724, 1086, 1267, 1629, 2172, 2534, 3258, 3801, 5068, 6516, 7602, 11403, 15204, 22806

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45596 and 45612. The biggest common factor number is the GCF number.
So the greatest common factor 45596 and 45612 is 4.

Also check out the Least Common Multiple of 45596 and 45612