What is the Greatest Common Factor of 6093 and 6100?

Greatest common factor (GCF) of 6093 and 6100 is 1.

GCF(6093,6100) = 1

We will now calculate the prime factors of 6093 and 6100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6093 and 6100.

How to find the GCF of 6093 and 6100?

We will first find the prime factorization of 6093 and 6100. After we will calculate the factors of 6093 and 6100 and find the biggest common factor number .

Step-1: Prime Factorization of 6093

Prime factors of 6093 are 3, 677. Prime factorization of 6093 in exponential form is:

6093 = 3² × 677¹

Step-2: Prime Factorization of 6100

Prime factors of 6100 are 2, 5, 61. Prime factorization of 6100 in exponential form is:

6100 = 2² × 5² × 61¹

Step-3: Factors of 6093

List of positive integer factors of 6093 that divides 6093 without a remainder.

1, 3, 9, 677, 2031

Step-4: Factors of 6100

List of positive integer factors of 6100 that divides 6093 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 61, 100, 122, 244, 305, 610, 1220, 1525, 3050

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6093 and 6100. The biggest common factor number is the GCF number.
So the greatest common factor 6093 and 6100 is 1.

Also check out the Least Common Multiple of 6093 and 6100