What is the Greatest Common Factor of 2380 and 2387?

Greatest common factor (GCF) of 2380 and 2387 is 7.

GCF(2380,2387) = 7

We will now calculate the prime factors of 2380 and 2387, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2380 and 2387.

How to find the GCF of 2380 and 2387?

We will first find the prime factorization of 2380 and 2387. After we will calculate the factors of 2380 and 2387 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 2387

Prime factors of 2387 are 7, 11, 31. Prime factorization of 2387 in exponential form is:

2387 = 7¹ × 11¹ × 31¹

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 2387

List of positive integer factors of 2387 that divides 2380 without a remainder.

1, 7, 11, 31, 77, 217, 341

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2380 and 2387. The biggest common factor number is the GCF number.
So the greatest common factor 2380 and 2387 is 7.

Also check out the Least Common Multiple of 2380 and 2387