What is the Greatest Common Factor of 3100 and 3107?

Greatest common factor (GCF) of 3100 and 3107 is 1.

GCF(3100,3107) = 1

We will now calculate the prime factors of 3100 and 3107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3100 and 3107.

How to find the GCF of 3100 and 3107?

We will first find the prime factorization of 3100 and 3107. After we will calculate the factors of 3100 and 3107 and find the biggest common factor number .

Step-1: Prime Factorization of 3100

Prime factors of 3100 are 2, 5, 31. Prime factorization of 3100 in exponential form is:

3100 = 2² × 5² × 31¹

Step-2: Prime Factorization of 3107

Prime factors of 3107 are 13, 239. Prime factorization of 3107 in exponential form is:

3107 = 13¹ × 239¹

Step-3: Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550

Step-4: Factors of 3107

List of positive integer factors of 3107 that divides 3100 without a remainder.

1, 13, 239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3100 and 3107. The biggest common factor number is the GCF number.
So the greatest common factor 3100 and 3107 is 1.

Also check out the Least Common Multiple of 3100 and 3107