What is the Greatest Common Factor of 34257 and 34264?

Greatest common factor (GCF) of 34257 and 34264 is 1.

GCF(34257,34264) = 1

We will now calculate the prime factors of 34257 and 34264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34257 and 34264.

How to find the GCF of 34257 and 34264?

We will first find the prime factorization of 34257 and 34264. After we will calculate the factors of 34257 and 34264 and find the biggest common factor number .

Step-1: Prime Factorization of 34257

Prime factors of 34257 are 3, 19, 601. Prime factorization of 34257 in exponential form is:

34257 = 3¹ × 19¹ × 601¹

Step-2: Prime Factorization of 34264

Prime factors of 34264 are 2, 4283. Prime factorization of 34264 in exponential form is:

34264 = 2³ × 4283¹

Step-3: Factors of 34257

List of positive integer factors of 34257 that divides 34257 without a remainder.

1, 3, 19, 57, 601, 1803, 11419

Step-4: Factors of 34264

List of positive integer factors of 34264 that divides 34257 without a remainder.

1, 2, 4, 8, 4283, 8566, 17132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34257 and 34264. The biggest common factor number is the GCF number.
So the greatest common factor 34257 and 34264 is 1.

Also check out the Least Common Multiple of 34257 and 34264