What is the Greatest Common Factor of 2256 and 2264?

Greatest common factor (GCF) of 2256 and 2264 is 8.

GCF(2256,2264) = 8

We will now calculate the prime factors of 2256 and 2264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2256 and 2264.

How to find the GCF of 2256 and 2264?

We will first find the prime factorization of 2256 and 2264. After we will calculate the factors of 2256 and 2264 and find the biggest common factor number .

Step-1: Prime Factorization of 2256

Prime factors of 2256 are 2, 3, 47. Prime factorization of 2256 in exponential form is:

2256 = 2⁴ × 3¹ × 47¹

Step-2: Prime Factorization of 2264

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

2264 = 2³ × 283¹

Step-3: Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 47, 48, 94, 141, 188, 282, 376, 564, 752, 1128

Step-4: Factors of 2264

List of positive integer factors of 2264 that divides 2256 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2256 and 2264. The biggest common factor number is the GCF number.
So the greatest common factor 2256 and 2264 is 8.

Also check out the Least Common Multiple of 2256 and 2264