What is the Greatest Common Factor of 34236 and 34256?

Greatest common factor (GCF) of 34236 and 34256 is 4.

GCF(34236,34256) = 4

We will now calculate the prime factors of 34236 and 34256, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34236 and 34256.

How to find the GCF of 34236 and 34256?

We will first find the prime factorization of 34236 and 34256. After we will calculate the factors of 34236 and 34256 and find the biggest common factor number .

Step-1: Prime Factorization of 34236

Prime factors of 34236 are 2, 3, 317. Prime factorization of 34236 in exponential form is:

34236 = 2² × 3³ × 317¹

Step-2: Prime Factorization of 34256

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

34256 = 2⁴ × 2141¹

Step-3: Factors of 34236

List of positive integer factors of 34236 that divides 34236 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 317, 634, 951, 1268, 1902, 2853, 3804, 5706, 8559, 11412, 17118

Step-4: Factors of 34256

List of positive integer factors of 34256 that divides 34236 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34236 and 34256. The biggest common factor number is the GCF number.
So the greatest common factor 34236 and 34256 is 4.

Also check out the Least Common Multiple of 34236 and 34256