What is the Greatest Common Factor of 2370 and 2385?

Greatest common factor (GCF) of 2370 and 2385 is 15.

GCF(2370,2385) = 15

We will now calculate the prime factors of 2370 and 2385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2370 and 2385.

How to find the GCF of 2370 and 2385?

We will first find the prime factorization of 2370 and 2385. After we will calculate the factors of 2370 and 2385 and find the biggest common factor number .

Step-1: Prime Factorization of 2370

Prime factors of 2370 are 2, 3, 5, 79. Prime factorization of 2370 in exponential form is:

2370 = 2¹ × 3¹ × 5¹ × 79¹

Step-2: Prime Factorization of 2385

Prime factors of 2385 are 3, 5, 53. Prime factorization of 2385 in exponential form is:

2385 = 3² × 5¹ × 53¹

Step-3: Factors of 2370

List of positive integer factors of 2370 that divides 2370 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 79, 158, 237, 395, 474, 790, 1185

Step-4: Factors of 2385

List of positive integer factors of 2385 that divides 2370 without a remainder.

1, 3, 5, 9, 15, 45, 53, 159, 265, 477, 795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2370 and 2385. The biggest common factor number is the GCF number.
So the greatest common factor 2370 and 2385 is 15.

Also check out the Least Common Multiple of 2370 and 2385