What is the Greatest Common Factor of 54114 and 54134?

Greatest common factor (GCF) of 54114 and 54134 is 2.

GCF(54114,54134) = 2

We will now calculate the prime factors of 54114 and 54134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54114 and 54134.

How to find the GCF of 54114 and 54134?

We will first find the prime factorization of 54114 and 54134. After we will calculate the factors of 54114 and 54134 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 54134

Prime factors of 54134 are 2, 27067. Prime factorization of 54134 in exponential form is:

54134 = 2¹ × 27067¹

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 54134

List of positive integer factors of 54134 that divides 54114 without a remainder.

1, 2, 27067

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54114 and 54134. The biggest common factor number is the GCF number.
So the greatest common factor 54114 and 54134 is 2.

Also check out the Least Common Multiple of 54114 and 54134