What is the Greatest Common Factor of 2365 and 2380?

Greatest common factor (GCF) of 2365 and 2380 is 5.

GCF(2365,2380) = 5

We will now calculate the prime factors of 2365 and 2380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2365 and 2380.

How to find the GCF of 2365 and 2380?

We will first find the prime factorization of 2365 and 2380. After we will calculate the factors of 2365 and 2380 and find the biggest common factor number .

Step-1: Prime Factorization of 2365

Prime factors of 2365 are 5, 11, 43. Prime factorization of 2365 in exponential form is:

2365 = 5¹ × 11¹ × 43¹

Step-2: 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-3: Factors of 2365

List of positive integer factors of 2365 that divides 2365 without a remainder.

1, 5, 11, 43, 55, 215, 473

Step-4: Factors of 2380

List of positive integer factors of 2380 that divides 2365 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2365 and 2380. The biggest common factor number is the GCF number.
So the greatest common factor 2365 and 2380 is 5.

Also check out the Least Common Multiple of 2365 and 2380