What is the Greatest Common Factor of 2364 and 2380?

Greatest common factor (GCF) of 2364 and 2380 is 4.

GCF(2364,2380) = 4

We will now calculate the prime factors of 2364 and 2380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2364 and 2380.

How to find the GCF of 2364 and 2380?

We will first find the prime factorization of 2364 and 2380. After we will calculate the factors of 2364 and 2380 and find the biggest common factor number .

Step-1: Prime Factorization of 2364

Prime factors of 2364 are 2, 3, 197. Prime factorization of 2364 in exponential form is:

2364 = 2² × 3¹ × 197¹

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 2364

List of positive integer factors of 2364 that divides 2364 without a remainder.

1, 2, 3, 4, 6, 12, 197, 394, 591, 788, 1182

Step-4: Factors of 2380

List of positive integer factors of 2380 that divides 2364 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 2364 and 2380. The biggest common factor number is the GCF number.
So the greatest common factor 2364 and 2380 is 4.

Also check out the Least Common Multiple of 2364 and 2380