What is the Greatest Common Factor of 54138 and 54154?

Greatest common factor (GCF) of 54138 and 54154 is 2.

GCF(54138,54154) = 2

We will now calculate the prime factors of 54138 and 54154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54138 and 54154.

How to find the GCF of 54138 and 54154?

We will first find the prime factorization of 54138 and 54154. After we will calculate the factors of 54138 and 54154 and find the biggest common factor number .

Step-1: Prime Factorization of 54138

Prime factors of 54138 are 2, 3, 7, 1289. Prime factorization of 54138 in exponential form is:

54138 = 2¹ × 3¹ × 7¹ × 1289¹

Step-2: Prime Factorization of 54154

Prime factors of 54154 are 2, 27077. Prime factorization of 54154 in exponential form is:

54154 = 2¹ × 27077¹

Step-3: Factors of 54138

List of positive integer factors of 54138 that divides 54138 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1289, 2578, 3867, 7734, 9023, 18046, 27069

Step-4: Factors of 54154

List of positive integer factors of 54154 that divides 54138 without a remainder.

1, 2, 27077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54138 and 54154. The biggest common factor number is the GCF number.
So the greatest common factor 54138 and 54154 is 2.

Also check out the Least Common Multiple of 54138 and 54154