What is the Greatest Common Factor of 54111 and 54117?

Greatest common factor (GCF) of 54111 and 54117 is 3.

GCF(54111,54117) = 3

We will now calculate the prime factors of 54111 and 54117, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54111 and 54117.

How to find the GCF of 54111 and 54117?

We will first find the prime factorization of 54111 and 54117. After we will calculate the factors of 54111 and 54117 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 54117

Prime factors of 54117 are 3, 7, 859. Prime factorization of 54117 in exponential form is:

54117 = 3² × 7¹ × 859¹

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 54117

List of positive integer factors of 54117 that divides 54111 without a remainder.

1, 3, 7, 9, 21, 63, 859, 2577, 6013, 7731, 18039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54111 and 54117. The biggest common factor number is the GCF number.
So the greatest common factor 54111 and 54117 is 3.

Also check out the Least Common Multiple of 54111 and 54117