What is the Greatest Common Factor of 2278 and 2292?

Greatest common factor (GCF) of 2278 and 2292 is 2.

GCF(2278,2292) = 2

We will now calculate the prime factors of 2278 and 2292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2278 and 2292.

How to find the GCF of 2278 and 2292?

We will first find the prime factorization of 2278 and 2292. After we will calculate the factors of 2278 and 2292 and find the biggest common factor number .

Step-1: Prime Factorization of 2278

Prime factors of 2278 are 2, 17, 67. Prime factorization of 2278 in exponential form is:

2278 = 2¹ × 17¹ × 67¹

Step-2: Prime Factorization of 2292

Prime factors of 2292 are 2, 3, 191. Prime factorization of 2292 in exponential form is:

2292 = 2² × 3¹ × 191¹

Step-3: Factors of 2278

List of positive integer factors of 2278 that divides 2278 without a remainder.

1, 2, 17, 34, 67, 134, 1139

Step-4: Factors of 2292

List of positive integer factors of 2292 that divides 2278 without a remainder.

1, 2, 3, 4, 6, 12, 191, 382, 573, 764, 1146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2278 and 2292. The biggest common factor number is the GCF number.
So the greatest common factor 2278 and 2292 is 2.

Also check out the Least Common Multiple of 2278 and 2292