What is the Greatest Common Factor of 54098 and 54107?

Greatest common factor (GCF) of 54098 and 54107 is 1.

GCF(54098,54107) = 1

We will now calculate the prime factors of 54098 and 54107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54098 and 54107.

How to find the GCF of 54098 and 54107?

We will first find the prime factorization of 54098 and 54107. After we will calculate the factors of 54098 and 54107 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 54107

Prime factors of 54107 are 61, 887. Prime factorization of 54107 in exponential form is:

54107 = 61¹ × 887¹

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 54107

List of positive integer factors of 54107 that divides 54098 without a remainder.

1, 61, 887

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54098 and 54107. The biggest common factor number is the GCF number.
So the greatest common factor 54098 and 54107 is 1.

Also check out the Least Common Multiple of 54098 and 54107