What is the Greatest Common Factor of 34274 and 34288?

Greatest common factor (GCF) of 34274 and 34288 is 2.

GCF(34274,34288) = 2

We will now calculate the prime factors of 34274 and 34288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34274 and 34288.

How to find the GCF of 34274 and 34288?

We will first find the prime factorization of 34274 and 34288. After we will calculate the factors of 34274 and 34288 and find the biggest common factor number .

Step-1: Prime Factorization of 34274

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

34274 = 2¹ × 17137¹

Step-2: Prime Factorization of 34288

Prime factors of 34288 are 2, 2143. Prime factorization of 34288 in exponential form is:

34288 = 2⁴ × 2143¹

Step-3: Factors of 34274

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

1, 2, 17137

Step-4: Factors of 34288

List of positive integer factors of 34288 that divides 34274 without a remainder.

1, 2, 4, 8, 16, 2143, 4286, 8572, 17144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34274 and 34288. The biggest common factor number is the GCF number.
So the greatest common factor 34274 and 34288 is 2.

Also check out the Least Common Multiple of 34274 and 34288