What is the Greatest Common Factor of 54100 and 54109?

Greatest common factor (GCF) of 54100 and 54109 is 1.

GCF(54100,54109) = 1

We will now calculate the prime factors of 54100 and 54109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54100 and 54109.

How to find the GCF of 54100 and 54109?

We will first find the prime factorization of 54100 and 54109. After we will calculate the factors of 54100 and 54109 and find the biggest common factor number .

Step-1: Prime Factorization of 54100

Prime factors of 54100 are 2, 5, 541. Prime factorization of 54100 in exponential form is:

54100 = 2² × 5² × 541¹

Step-2: Prime Factorization of 54109

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

54109 = 11¹ × 4919¹

Step-3: Factors of 54100

List of positive integer factors of 54100 that divides 54100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 541, 1082, 2164, 2705, 5410, 10820, 13525, 27050

Step-4: Factors of 54109

List of positive integer factors of 54109 that divides 54100 without a remainder.

1, 11, 4919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54100 and 54109. The biggest common factor number is the GCF number.
So the greatest common factor 54100 and 54109 is 1.

Also check out the Least Common Multiple of 54100 and 54109