What is the Greatest Common Factor of 18630 and 18645?

Greatest common factor (GCF) of 18630 and 18645 is 15.

GCF(18630,18645) = 15

We will now calculate the prime factors of 18630 and 18645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18630 and 18645.

How to find the GCF of 18630 and 18645?

We will first find the prime factorization of 18630 and 18645. After we will calculate the factors of 18630 and 18645 and find the biggest common factor number .

Step-1: Prime Factorization of 18630

Prime factors of 18630 are 2, 3, 5, 23. Prime factorization of 18630 in exponential form is:

18630 = 2¹ × 3⁴ × 5¹ × 23¹

Step-2: Prime Factorization of 18645

Prime factors of 18645 are 3, 5, 11, 113. Prime factorization of 18645 in exponential form is:

18645 = 3¹ × 5¹ × 11¹ × 113¹

Step-3: Factors of 18630

List of positive integer factors of 18630 that divides 18630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 81, 90, 115, 135, 138, 162, 207, 230, 270, 345, 405, 414, 621, 690, 810, 1035, 1242, 1863, 2070, 3105, 3726, 6210, 9315

Step-4: Factors of 18645

List of positive integer factors of 18645 that divides 18630 without a remainder.

1, 3, 5, 11, 15, 33, 55, 113, 165, 339, 565, 1243, 1695, 3729, 6215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18630 and 18645. The biggest common factor number is the GCF number.
So the greatest common factor 18630 and 18645 is 15.

Also check out the Least Common Multiple of 18630 and 18645