What is the Greatest Common Factor of 2282 and 2302?

Greatest common factor (GCF) of 2282 and 2302 is 2.

GCF(2282,2302) = 2

We will now calculate the prime factors of 2282 and 2302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2282 and 2302.

How to find the GCF of 2282 and 2302?

We will first find the prime factorization of 2282 and 2302. After we will calculate the factors of 2282 and 2302 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 2302

Prime factors of 2302 are 2, 1151. Prime factorization of 2302 in exponential form is:

2302 = 2¹ × 1151¹

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 2302

List of positive integer factors of 2302 that divides 2282 without a remainder.

1, 2, 1151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2282 and 2302. The biggest common factor number is the GCF number.
So the greatest common factor 2282 and 2302 is 2.

Also check out the Least Common Multiple of 2282 and 2302