What is the Greatest Common Factor of 2264 and 2278?

Greatest common factor (GCF) of 2264 and 2278 is 2.

GCF(2264,2278) = 2

We will now calculate the prime factors of 2264 and 2278, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2264 and 2278.

How to find the GCF of 2264 and 2278?

We will first find the prime factorization of 2264 and 2278. After we will calculate the factors of 2264 and 2278 and find the biggest common factor number .

Step-1: Prime Factorization of 2264

Prime factors of 2264 are 2, 283. Prime factorization of 2264 in exponential form is:

2264 = 2³ × 283¹

Step-2: 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-3: Factors of 2264

List of positive integer factors of 2264 that divides 2264 without a remainder.

1, 2, 4, 8, 283, 566, 1132

Step-4: Factors of 2278

List of positive integer factors of 2278 that divides 2264 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2264 and 2278. The biggest common factor number is the GCF number.
So the greatest common factor 2264 and 2278 is 2.

Also check out the Least Common Multiple of 2264 and 2278