What is the Greatest Common Factor of 2320 and 2340?

Greatest common factor (GCF) of 2320 and 2340 is 20.

GCF(2320,2340) = 20

We will now calculate the prime factors of 2320 and 2340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2320 and 2340.

How to find the GCF of 2320 and 2340?

We will first find the prime factorization of 2320 and 2340. After we will calculate the factors of 2320 and 2340 and find the biggest common factor number .

Step-1: Prime Factorization of 2320

Prime factors of 2320 are 2, 5, 29. Prime factorization of 2320 in exponential form is:

2320 = 2⁴ × 5¹ × 29¹

Step-2: Prime Factorization of 2340

Prime factors of 2340 are 2, 3, 5, 13. Prime factorization of 2340 in exponential form is:

2340 = 2² × 3² × 5¹ × 13¹

Step-3: Factors of 2320

List of positive integer factors of 2320 that divides 2320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 29, 40, 58, 80, 116, 145, 232, 290, 464, 580, 1160

Step-4: Factors of 2340

List of positive integer factors of 2340 that divides 2320 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 30, 36, 39, 45, 52, 60, 65, 78, 90, 117, 130, 156, 180, 195, 234, 260, 390, 468, 585, 780, 1170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2320 and 2340. The biggest common factor number is the GCF number.
So the greatest common factor 2320 and 2340 is 20.

Also check out the Least Common Multiple of 2320 and 2340