What is the Greatest Common Factor of 18630 and 18648?

Greatest common factor (GCF) of 18630 and 18648 is 18.

GCF(18630,18648) = 18

We will now calculate the prime factors of 18630 and 18648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18630 and 18648.

How to find the GCF of 18630 and 18648?

We will first find the prime factorization of 18630 and 18648. After we will calculate the factors of 18630 and 18648 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 18648

Prime factors of 18648 are 2, 3, 7, 37. Prime factorization of 18648 in exponential form is:

18648 = 2³ × 3² × 7¹ × 37¹

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 18648

List of positive integer factors of 18648 that divides 18630 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 37, 42, 56, 63, 72, 74, 84, 111, 126, 148, 168, 222, 252, 259, 296, 333, 444, 504, 518, 666, 777, 888, 1036, 1332, 1554, 2072, 2331, 2664, 3108, 4662, 6216, 9324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18630 and 18648. The biggest common factor number is the GCF number.
So the greatest common factor 18630 and 18648 is 18.

Also check out the Least Common Multiple of 18630 and 18648