What is the Greatest Common Factor of 54111 and 54129?

Greatest common factor (GCF) of 54111 and 54129 is 3.

GCF(54111,54129) = 3

We will now calculate the prime factors of 54111 and 54129, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54111 and 54129.

How to find the GCF of 54111 and 54129?

We will first find the prime factorization of 54111 and 54129. After we will calculate the factors of 54111 and 54129 and find the biggest common factor number .

Step-1: Prime Factorization of 54111

Prime factors of 54111 are 3, 17, 1061. Prime factorization of 54111 in exponential form is:

54111 = 3¹ × 17¹ × 1061¹

Step-2: Prime Factorization of 54129

Prime factors of 54129 are 3, 18043. Prime factorization of 54129 in exponential form is:

54129 = 3¹ × 18043¹

Step-3: Factors of 54111

List of positive integer factors of 54111 that divides 54111 without a remainder.

1, 3, 17, 51, 1061, 3183, 18037

Step-4: Factors of 54129

List of positive integer factors of 54129 that divides 54111 without a remainder.

1, 3, 18043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54111 and 54129. The biggest common factor number is the GCF number.
So the greatest common factor 54111 and 54129 is 3.

Also check out the Least Common Multiple of 54111 and 54129