What is the Greatest Common Factor of 54063 and 54075?

Greatest common factor (GCF) of 54063 and 54075 is 3.

GCF(54063,54075) = 3

We will now calculate the prime factors of 54063 and 54075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54063 and 54075.

How to find the GCF of 54063 and 54075?

We will first find the prime factorization of 54063 and 54075. After we will calculate the factors of 54063 and 54075 and find the biggest common factor number .

Step-1: Prime Factorization of 54063

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

54063 = 3² × 6007¹

Step-2: Prime Factorization of 54075

Prime factors of 54075 are 3, 5, 7, 103. Prime factorization of 54075 in exponential form is:

54075 = 3¹ × 5² × 7¹ × 103¹

Step-3: Factors of 54063

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

1, 3, 9, 6007, 18021

Step-4: Factors of 54075

List of positive integer factors of 54075 that divides 54063 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 103, 105, 175, 309, 515, 525, 721, 1545, 2163, 2575, 3605, 7725, 10815, 18025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54063 and 54075. The biggest common factor number is the GCF number.
So the greatest common factor 54063 and 54075 is 3.

Also check out the Least Common Multiple of 54063 and 54075