What is the Greatest Common Factor of 45598 and 45612?

Greatest common factor (GCF) of 45598 and 45612 is 14.

GCF(45598,45612) = 14

We will now calculate the prime factors of 45598 and 45612, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45598 and 45612.

How to find the GCF of 45598 and 45612?

We will first find the prime factorization of 45598 and 45612. After we will calculate the factors of 45598 and 45612 and find the biggest common factor number .

Step-1: Prime Factorization of 45598

Prime factors of 45598 are 2, 7, 3257. Prime factorization of 45598 in exponential form is:

45598 = 2¹ × 7¹ × 3257¹

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 45598

List of positive integer factors of 45598 that divides 45598 without a remainder.

1, 2, 7, 14, 3257, 6514, 22799

Step-4: Factors of 45612

List of positive integer factors of 45612 that divides 45598 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 45598 and 45612. The biggest common factor number is the GCF number.
So the greatest common factor 45598 and 45612 is 14.

Also check out the Least Common Multiple of 45598 and 45612