What is the Greatest Common Factor of 54098 and 54109?

Greatest common factor (GCF) of 54098 and 54109 is 11.

GCF(54098,54109) = 11

We will now calculate the prime factors of 54098 and 54109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54098 and 54109.

How to find the GCF of 54098 and 54109?

We will first find the prime factorization of 54098 and 54109. After we will calculate the factors of 54098 and 54109 and find the biggest common factor number .

Step-1: Prime Factorization of 54098

Prime factors of 54098 are 2, 11, 2459. Prime factorization of 54098 in exponential form is:

54098 = 2¹ × 11¹ × 2459¹

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 54098

List of positive integer factors of 54098 that divides 54098 without a remainder.

1, 2, 11, 22, 2459, 4918, 27049

Step-4: Factors of 54109

List of positive integer factors of 54109 that divides 54098 without a remainder.

1, 11, 4919

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54098 and 54109. The biggest common factor number is the GCF number.
So the greatest common factor 54098 and 54109 is 11.

Also check out the Least Common Multiple of 54098 and 54109