What is the Greatest Common Factor of 4256 and 4274?

Greatest common factor (GCF) of 4256 and 4274 is 2.

GCF(4256,4274) = 2

We will now calculate the prime factors of 4256 and 4274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4256 and 4274.

How to find the GCF of 4256 and 4274?

We will first find the prime factorization of 4256 and 4274. After we will calculate the factors of 4256 and 4274 and find the biggest common factor number .

Step-1: Prime Factorization of 4256

Prime factors of 4256 are 2, 7, 19. Prime factorization of 4256 in exponential form is:

4256 = 2⁵ × 7¹ × 19¹

Step-2: Prime Factorization of 4274

Prime factors of 4274 are 2, 2137. Prime factorization of 4274 in exponential form is:

4274 = 2¹ × 2137¹

Step-3: Factors of 4256

List of positive integer factors of 4256 that divides 4256 without a remainder.

1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128

Step-4: Factors of 4274

List of positive integer factors of 4274 that divides 4256 without a remainder.

1, 2, 2137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4256 and 4274. The biggest common factor number is the GCF number.
So the greatest common factor 4256 and 4274 is 2.

Also check out the Least Common Multiple of 4256 and 4274