What is the Greatest Common Factor of 2272 and 2286?

Greatest common factor (GCF) of 2272 and 2286 is 2.

GCF(2272,2286) = 2

We will now calculate the prime factors of 2272 and 2286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2272 and 2286.

How to find the GCF of 2272 and 2286?

We will first find the prime factorization of 2272 and 2286. After we will calculate the factors of 2272 and 2286 and find the biggest common factor number .

Step-1: Prime Factorization of 2272

Prime factors of 2272 are 2, 71. Prime factorization of 2272 in exponential form is:

2272 = 2⁵ × 71¹

Step-2: Prime Factorization of 2286

Prime factors of 2286 are 2, 3, 127. Prime factorization of 2286 in exponential form is:

2286 = 2¹ × 3² × 127¹

Step-3: Factors of 2272

List of positive integer factors of 2272 that divides 2272 without a remainder.

1, 2, 4, 8, 16, 32, 71, 142, 284, 568, 1136

Step-4: Factors of 2286

List of positive integer factors of 2286 that divides 2272 without a remainder.

1, 2, 3, 6, 9, 18, 127, 254, 381, 762, 1143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2272 and 2286. The biggest common factor number is the GCF number.
So the greatest common factor 2272 and 2286 is 2.

Also check out the Least Common Multiple of 2272 and 2286