What is the Greatest Common Factor of 2296 and 2303?

Greatest common factor (GCF) of 2296 and 2303 is 7.

GCF(2296,2303) = 7

We will now calculate the prime factors of 2296 and 2303, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2296 and 2303.

How to find the GCF of 2296 and 2303?

We will first find the prime factorization of 2296 and 2303. After we will calculate the factors of 2296 and 2303 and find the biggest common factor number .

Step-1: Prime Factorization of 2296

Prime factors of 2296 are 2, 7, 41. Prime factorization of 2296 in exponential form is:

2296 = 2³ × 7¹ × 41¹

Step-2: Prime Factorization of 2303

Prime factors of 2303 are 7, 47. Prime factorization of 2303 in exponential form is:

2303 = 7² × 47¹

Step-3: Factors of 2296

List of positive integer factors of 2296 that divides 2296 without a remainder.

1, 2, 4, 7, 8, 14, 28, 41, 56, 82, 164, 287, 328, 574, 1148

Step-4: Factors of 2303

List of positive integer factors of 2303 that divides 2296 without a remainder.

1, 7, 47, 49, 329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2296 and 2303. The biggest common factor number is the GCF number.
So the greatest common factor 2296 and 2303 is 7.

Also check out the Least Common Multiple of 2296 and 2303