What is the Greatest Common Factor of 6100 and 6107?

Greatest common factor (GCF) of 6100 and 6107 is 1.

GCF(6100,6107) = 1

We will now calculate the prime factors of 6100 and 6107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6100 and 6107.

How to find the GCF of 6100 and 6107?

We will first find the prime factorization of 6100 and 6107. After we will calculate the factors of 6100 and 6107 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 6107

Prime factors of 6107 are 31, 197. Prime factorization of 6107 in exponential form is:

6107 = 31¹ × 197¹

Step-3: Factors of 6100

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

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

Step-4: Factors of 6107

List of positive integer factors of 6107 that divides 6100 without a remainder.

1, 31, 197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6100 and 6107. The biggest common factor number is the GCF number.
So the greatest common factor 6100 and 6107 is 1.

Also check out the Least Common Multiple of 6100 and 6107