What is the Greatest Common Factor of 2320 and 2328?

Greatest common factor (GCF) of 2320 and 2328 is 8.

GCF(2320,2328) = 8

We will now calculate the prime factors of 2320 and 2328, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2320 and 2328.

How to find the GCF of 2320 and 2328?

We will first find the prime factorization of 2320 and 2328. After we will calculate the factors of 2320 and 2328 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 2328

Prime factors of 2328 are 2, 3, 97. Prime factorization of 2328 in exponential form is:

2328 = 2³ × 3¹ × 97¹

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 2328

List of positive integer factors of 2328 that divides 2320 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 97, 194, 291, 388, 582, 776, 1164

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2320 and 2328. The biggest common factor number is the GCF number.
So the greatest common factor 2320 and 2328 is 8.

Also check out the Least Common Multiple of 2320 and 2328