What is the Greatest Common Factor of 2282 and 2296?

Greatest common factor (GCF) of 2282 and 2296 is 14.

GCF(2282,2296) = 14

We will now calculate the prime factors of 2282 and 2296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2282 and 2296.

How to find the GCF of 2282 and 2296?

We will first find the prime factorization of 2282 and 2296. After we will calculate the factors of 2282 and 2296 and find the biggest common factor number .

Step-1: Prime Factorization of 2282

Prime factors of 2282 are 2, 7, 163. Prime factorization of 2282 in exponential form is:

2282 = 2¹ × 7¹ × 163¹

Step-2: 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-3: Factors of 2282

List of positive integer factors of 2282 that divides 2282 without a remainder.

1, 2, 7, 14, 163, 326, 1141

Step-4: Factors of 2296

List of positive integer factors of 2296 that divides 2282 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2282 and 2296. The biggest common factor number is the GCF number.
So the greatest common factor 2282 and 2296 is 14.

Also check out the Least Common Multiple of 2282 and 2296