What is the Greatest Common Factor of 34257 and 34266?

Greatest common factor (GCF) of 34257 and 34266 is 3.

GCF(34257,34266) = 3

We will now calculate the prime factors of 34257 and 34266, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34257 and 34266.

How to find the GCF of 34257 and 34266?

We will first find the prime factorization of 34257 and 34266. After we will calculate the factors of 34257 and 34266 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 34266

Prime factors of 34266 are 2, 3, 5711. Prime factorization of 34266 in exponential form is:

34266 = 2¹ × 3¹ × 5711¹

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 34266

List of positive integer factors of 34266 that divides 34257 without a remainder.

1, 2, 3, 6, 5711, 11422, 17133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34257 and 34266. The biggest common factor number is the GCF number.
So the greatest common factor 34257 and 34266 is 3.

Also check out the Least Common Multiple of 34257 and 34266