What is the Greatest Common Factor of 45630 and 45643?

Greatest common factor (GCF) of 45630 and 45643 is 13.

GCF(45630,45643) = 13

We will now calculate the prime factors of 45630 and 45643, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45630 and 45643.

How to find the GCF of 45630 and 45643?

We will first find the prime factorization of 45630 and 45643. After we will calculate the factors of 45630 and 45643 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45643

Prime factors of 45643 are 13, 3511. Prime factorization of 45643 in exponential form is:

45643 = 13¹ × 3511¹

Step-3: Factors of 45630

List of positive integer factors of 45630 that divides 45630 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

Step-4: Factors of 45643

List of positive integer factors of 45643 that divides 45630 without a remainder.

1, 13, 3511

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45630 and 45643. The biggest common factor number is the GCF number.
So the greatest common factor 45630 and 45643 is 13.

Also check out the Least Common Multiple of 45630 and 45643