What is the Greatest Common Factor of 4250 and 4256?

Greatest common factor (GCF) of 4250 and 4256 is 2.

GCF(4250,4256) = 2

We will now calculate the prime factors of 4250 and 4256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4250 and 4256.

How to find the GCF of 4250 and 4256?

We will first find the prime factorization of 4250 and 4256. After we will calculate the factors of 4250 and 4256 and find the biggest common factor number .

Step-1: Prime Factorization of 4250

Prime factors of 4250 are 2, 5, 17. Prime factorization of 4250 in exponential form is:

4250 = 2¹ × 5³ × 17¹

Step-2: 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-3: Factors of 4250

List of positive integer factors of 4250 that divides 4250 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 125, 170, 250, 425, 850, 2125

Step-4: Factors of 4256

List of positive integer factors of 4256 that divides 4250 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4250 and 4256. The biggest common factor number is the GCF number.
So the greatest common factor 4250 and 4256 is 2.

Also check out the Least Common Multiple of 4250 and 4256