What is the Greatest Common Factor of 54048 and 54063?

Greatest common factor (GCF) of 54048 and 54063 is 3.

GCF(54048,54063) = 3

We will now calculate the prime factors of 54048 and 54063, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54048 and 54063.

How to find the GCF of 54048 and 54063?

We will first find the prime factorization of 54048 and 54063. After we will calculate the factors of 54048 and 54063 and find the biggest common factor number .

Step-1: Prime Factorization of 54048

Prime factors of 54048 are 2, 3, 563. Prime factorization of 54048 in exponential form is:

54048 = 2⁵ × 3¹ × 563¹

Step-2: Prime Factorization of 54063

Prime factors of 54063 are 3, 6007. Prime factorization of 54063 in exponential form is:

54063 = 3² × 6007¹

Step-3: Factors of 54048

List of positive integer factors of 54048 that divides 54048 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 563, 1126, 1689, 2252, 3378, 4504, 6756, 9008, 13512, 18016, 27024

Step-4: Factors of 54063

List of positive integer factors of 54063 that divides 54048 without a remainder.

1, 3, 9, 6007, 18021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54048 and 54063. The biggest common factor number is the GCF number.
So the greatest common factor 54048 and 54063 is 3.

Also check out the Least Common Multiple of 54048 and 54063