What is the Greatest Common Factor of 3120 and 3127?

Greatest common factor (GCF) of 3120 and 3127 is 1.

GCF(3120,3127) = 1

We will now calculate the prime factors of 3120 and 3127, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3120 and 3127.

How to find the GCF of 3120 and 3127?

We will first find the prime factorization of 3120 and 3127. After we will calculate the factors of 3120 and 3127 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3127

Prime factors of 3127 are 53, 59. Prime factorization of 3127 in exponential form is:

3127 = 53¹ × 59¹

Step-3: Factors of 3120

List of positive integer factors of 3120 that divides 3120 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

Step-4: Factors of 3127

List of positive integer factors of 3127 that divides 3120 without a remainder.

1, 53, 59

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3120 and 3127. The biggest common factor number is the GCF number.
So the greatest common factor 3120 and 3127 is 1.

Also check out the Least Common Multiple of 3120 and 3127