What is the Greatest Common Factor of 54109 and 54126?

Greatest common factor (GCF) of 54109 and 54126 is 1.

GCF(54109,54126) = 1

We will now calculate the prime factors of 54109 and 54126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54109 and 54126.

How to find the GCF of 54109 and 54126?

We will first find the prime factorization of 54109 and 54126. After we will calculate the factors of 54109 and 54126 and find the biggest common factor number .

Step-1: Prime Factorization of 54109

Prime factors of 54109 are 11, 4919. Prime factorization of 54109 in exponential form is:

54109 = 11¹ × 4919¹

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 54109

List of positive integer factors of 54109 that divides 54109 without a remainder.

1, 11, 4919

Step-4: Factors of 54126

List of positive integer factors of 54126 that divides 54109 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 54109 and 54126. The biggest common factor number is the GCF number.
So the greatest common factor 54109 and 54126 is 1.

Also check out the Least Common Multiple of 54109 and 54126