What is the Greatest Common Factor of 2375 and 2394?

Greatest common factor (GCF) of 2375 and 2394 is 19.

GCF(2375,2394) = 19

We will now calculate the prime factors of 2375 and 2394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2375 and 2394.

How to find the GCF of 2375 and 2394?

We will first find the prime factorization of 2375 and 2394. After we will calculate the factors of 2375 and 2394 and find the biggest common factor number .

Step-1: Prime Factorization of 2375

Prime factors of 2375 are 5, 19. Prime factorization of 2375 in exponential form is:

2375 = 5³ × 19¹

Step-2: Prime Factorization of 2394

Prime factors of 2394 are 2, 3, 7, 19. Prime factorization of 2394 in exponential form is:

2394 = 2¹ × 3² × 7¹ × 19¹

Step-3: Factors of 2375

List of positive integer factors of 2375 that divides 2375 without a remainder.

1, 5, 19, 25, 95, 125, 475

Step-4: Factors of 2394

List of positive integer factors of 2394 that divides 2375 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2375 and 2394. The biggest common factor number is the GCF number.
So the greatest common factor 2375 and 2394 is 19.

Also check out the Least Common Multiple of 2375 and 2394