What is the Greatest Common Factor of 54114 and 54126?

Greatest common factor (GCF) of 54114 and 54126 is 6.

GCF(54114,54126) = 6

We will now calculate the prime factors of 54114 and 54126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54114 and 54126.

How to find the GCF of 54114 and 54126?

We will first find the prime factorization of 54114 and 54126. After we will calculate the factors of 54114 and 54126 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 54126

Prime factors of 54126 are 2, 3, 31, 97. Prime factorization of 54126 in exponential form is:

54126 = 2¹ × 3² × 31¹ × 97¹

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 54126

List of positive integer factors of 54126 that divides 54114 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 97, 186, 194, 279, 291, 558, 582, 873, 1746, 3007, 6014, 9021, 18042, 27063

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54114 and 54126. The biggest common factor number is the GCF number.
So the greatest common factor 54114 and 54126 is 6.

Also check out the Least Common Multiple of 54114 and 54126