What is the Greatest Common Factor of 3107 and 3120?

Greatest common factor (GCF) of 3107 and 3120 is 13.

GCF(3107,3120) = 13

We will now calculate the prime factors of 3107 and 3120, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3107 and 3120.

How to find the GCF of 3107 and 3120?

We will first find the prime factorization of 3107 and 3120. After we will calculate the factors of 3107 and 3120 and find the biggest common factor number .

Step-1: Prime Factorization of 3107

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

3107 = 13¹ × 239¹

Step-2: Prime Factorization of 3120

Prime factors of 3120 are 2, 3, 5, 13. Prime factorization of 3120 in exponential form is:

3120 = 2⁴ × 3¹ × 5¹ × 13¹

Step-3: Factors of 3107

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

1, 13, 239

Step-4: Factors of 3120

List of positive integer factors of 3120 that divides 3107 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 39, 40, 48, 52, 60, 65, 78, 80, 104, 120, 130, 156, 195, 208, 240, 260, 312, 390, 520, 624, 780, 1040, 1560

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3107 and 3120. The biggest common factor number is the GCF number.
So the greatest common factor 3107 and 3120 is 13.

Also check out the Least Common Multiple of 3107 and 3120