What is the Greatest Common Factor of 2352 and 2364?

Greatest common factor (GCF) of 2352 and 2364 is 12.

GCF(2352,2364) = 12

We will now calculate the prime factors of 2352 and 2364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2352 and 2364.

How to find the GCF of 2352 and 2364?

We will first find the prime factorization of 2352 and 2364. After we will calculate the factors of 2352 and 2364 and find the biggest common factor number .

Step-1: Prime Factorization of 2352

Prime factors of 2352 are 2, 3, 7. Prime factorization of 2352 in exponential form is:

2352 = 2⁴ × 3¹ × 7²

Step-2: 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-3: Factors of 2352

List of positive integer factors of 2352 that divides 2352 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176

Step-4: Factors of 2364

List of positive integer factors of 2364 that divides 2352 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2352 and 2364. The biggest common factor number is the GCF number.
So the greatest common factor 2352 and 2364 is 12.

Also check out the Least Common Multiple of 2352 and 2364