What is the Greatest Common Factor of 45612 and 45630?

Greatest common factor (GCF) of 45612 and 45630 is 18.

GCF(45612,45630) = 18

We will now calculate the prime factors of 45612 and 45630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45612 and 45630.

How to find the GCF of 45612 and 45630?

We will first find the prime factorization of 45612 and 45630. After we will calculate the factors of 45612 and 45630 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45630

Prime factors of 45630 are 2, 3, 5, 13. Prime factorization of 45630 in exponential form is:

45630 = 2¹ × 3³ × 5¹ × 13²

Step-3: Factors of 45612

List of positive integer factors of 45612 that divides 45612 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

Step-4: Factors of 45630

List of positive integer factors of 45630 that divides 45612 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 169, 195, 234, 270, 338, 351, 390, 507, 585, 702, 845, 1014, 1170, 1521, 1690, 1755, 2535, 3042, 3510, 4563, 5070, 7605, 9126, 15210, 22815

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45612 and 45630. The biggest common factor number is the GCF number.
So the greatest common factor 45612 and 45630 is 18.

Also check out the Least Common Multiple of 45612 and 45630