What is the Greatest Common Factor of 4256 and 4268?

Greatest common factor (GCF) of 4256 and 4268 is 4.

GCF(4256,4268) = 4

We will now calculate the prime factors of 4256 and 4268, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4256 and 4268.

How to find the GCF of 4256 and 4268?

We will first find the prime factorization of 4256 and 4268. After we will calculate the factors of 4256 and 4268 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 4268

Prime factors of 4268 are 2, 11, 97. Prime factorization of 4268 in exponential form is:

4268 = 2² × 11¹ × 97¹

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 4268

List of positive integer factors of 4268 that divides 4256 without a remainder.

1, 2, 4, 11, 22, 44, 97, 194, 388, 1067, 2134

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4256 and 4268. The biggest common factor number is the GCF number.
So the greatest common factor 4256 and 4268 is 4.

Also check out the Least Common Multiple of 4256 and 4268