What is the Greatest Common Factor of 54114 and 54123?

Greatest common factor (GCF) of 54114 and 54123 is 3.

GCF(54114,54123) = 3

We will now calculate the prime factors of 54114 and 54123, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54114 and 54123.

How to find the GCF of 54114 and 54123?

We will first find the prime factorization of 54114 and 54123. After we will calculate the factors of 54114 and 54123 and find the biggest common factor number .

Step-1: Prime Factorization of 54114

Prime factors of 54114 are 2, 3, 29, 311. Prime factorization of 54114 in exponential form is:

54114 = 2¹ × 3¹ × 29¹ × 311¹

Step-2: Prime Factorization of 54123

Prime factors of 54123 are 3, 18041. Prime factorization of 54123 in exponential form is:

54123 = 3¹ × 18041¹

Step-3: Factors of 54114

List of positive integer factors of 54114 that divides 54114 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 311, 622, 933, 1866, 9019, 18038, 27057

Step-4: Factors of 54123

List of positive integer factors of 54123 that divides 54114 without a remainder.

1, 3, 18041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54114 and 54123. The biggest common factor number is the GCF number.
So the greatest common factor 54114 and 54123 is 3.

Also check out the Least Common Multiple of 54114 and 54123