What is the Greatest Common Factor of 34256 and 34274?

Greatest common factor (GCF) of 34256 and 34274 is 2.

GCF(34256,34274) = 2

We will now calculate the prime factors of 34256 and 34274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34256 and 34274.

How to find the GCF of 34256 and 34274?

We will first find the prime factorization of 34256 and 34274. After we will calculate the factors of 34256 and 34274 and find the biggest common factor number .

Step-1: Prime Factorization of 34256

Prime factors of 34256 are 2, 2141. Prime factorization of 34256 in exponential form is:

34256 = 2⁴ × 2141¹

Step-2: Prime Factorization of 34274

Prime factors of 34274 are 2, 17137. Prime factorization of 34274 in exponential form is:

34274 = 2¹ × 17137¹

Step-3: Factors of 34256

List of positive integer factors of 34256 that divides 34256 without a remainder.

1, 2, 4, 8, 16, 2141, 4282, 8564, 17128

Step-4: Factors of 34274

List of positive integer factors of 34274 that divides 34256 without a remainder.

1, 2, 17137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34256 and 34274. The biggest common factor number is the GCF number.
So the greatest common factor 34256 and 34274 is 2.

Also check out the Least Common Multiple of 34256 and 34274