What is the Greatest Common Factor of 2380 and 2398?

Greatest common factor (GCF) of 2380 and 2398 is 2.

GCF(2380,2398) = 2

We will now calculate the prime factors of 2380 and 2398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2380 and 2398.

How to find the GCF of 2380 and 2398?

We will first find the prime factorization of 2380 and 2398. After we will calculate the factors of 2380 and 2398 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 2398

Prime factors of 2398 are 2, 11, 109. Prime factorization of 2398 in exponential form is:

2398 = 2¹ × 11¹ × 109¹

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 2398

List of positive integer factors of 2398 that divides 2380 without a remainder.

1, 2, 11, 22, 109, 218, 1199

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2380 and 2398. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2398 is 2.

Also check out the Least Common Multiple of 2380 and 2398