What is the Greatest Common Factor of 2380 and 2394?

Greatest common factor (GCF) of 2380 and 2394 is 14.

GCF(2380,2394) = 14

We will now calculate the prime factors of 2380 and 2394, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2380 and 2394.

How to find the GCF of 2380 and 2394?

We will first find the prime factorization of 2380 and 2394. After we will calculate the factors of 2380 and 2394 and find the biggest common factor number .

Step-1: Prime Factorization of 2380

Prime factors of 2380 are 2, 5, 7, 17. Prime factorization of 2380 in exponential form is:

2380 = 2² × 5¹ × 7¹ × 17¹

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 2380

List of positive integer factors of 2380 that divides 2380 without a remainder.

1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190

Step-4: Factors of 2394

List of positive integer factors of 2394 that divides 2380 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 2380 and 2394. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2394 is 14.

Also check out the Least Common Multiple of 2380 and 2394