What is the Greatest Common Factor of 54630 and 54648?

Greatest common factor (GCF) of 54630 and 54648 is 18.

GCF(54630,54648) = 18

We will now calculate the prime factors of 54630 and 54648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54630 and 54648.

How to find the GCF of 54630 and 54648?

We will first find the prime factorization of 54630 and 54648. After we will calculate the factors of 54630 and 54648 and find the biggest common factor number .

Step-1: Prime Factorization of 54630

Prime factors of 54630 are 2, 3, 5, 607. Prime factorization of 54630 in exponential form is:

54630 = 2¹ × 3² × 5¹ × 607¹

Step-2: Prime Factorization of 54648

Prime factors of 54648 are 2, 3, 11, 23. Prime factorization of 54648 in exponential form is:

54648 = 2³ × 3³ × 11¹ × 23¹

Step-3: Factors of 54630

List of positive integer factors of 54630 that divides 54630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 607, 1214, 1821, 3035, 3642, 5463, 6070, 9105, 10926, 18210, 27315

Step-4: Factors of 54648

List of positive integer factors of 54648 that divides 54630 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 23, 24, 27, 33, 36, 44, 46, 54, 66, 69, 72, 88, 92, 99, 108, 132, 138, 184, 198, 207, 216, 253, 264, 276, 297, 396, 414, 506, 552, 594, 621, 759, 792, 828, 1012, 1188, 1242, 1518, 1656, 2024, 2277, 2376, 2484, 3036, 4554, 4968, 6072, 6831, 9108, 13662, 18216, 27324

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54630 and 54648. The biggest common factor number is the GCF number.
So the greatest common factor 54630 and 54648 is 18.

Also check out the Least Common Multiple of 54630 and 54648