What is the Greatest Common Factor of 45617 and 45630?

Greatest common factor (GCF) of 45617 and 45630 is 13.

GCF(45617,45630) = 13

We will now calculate the prime factors of 45617 and 45630, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45617 and 45630.

How to find the GCF of 45617 and 45630?

We will first find the prime factorization of 45617 and 45630. After we will calculate the factors of 45617 and 45630 and find the biggest common factor number .

Step-1: Prime Factorization of 45617

Prime factors of 45617 are 11, 13, 29. Prime factorization of 45617 in exponential form is:

45617 = 11² × 13¹ × 29¹

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 45617

List of positive integer factors of 45617 that divides 45617 without a remainder.

1, 11, 13, 29, 121, 143, 319, 377, 1573, 3509, 4147

Step-4: Factors of 45630

List of positive integer factors of 45630 that divides 45617 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 45617 and 45630. The biggest common factor number is the GCF number.
So the greatest common factor 45617 and 45630 is 13.

Also check out the Least Common Multiple of 45617 and 45630