What is the Greatest Common Factor of 34266 and 34274?

Greatest common factor (GCF) of 34266 and 34274 is 2.

GCF(34266,34274) = 2

We will now calculate the prime factors of 34266 and 34274, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34266 and 34274.

How to find the GCF of 34266 and 34274?

We will first find the prime factorization of 34266 and 34274. After we will calculate the factors of 34266 and 34274 and find the biggest common factor number .

Step-1: 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-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 34266

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

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

Step-4: Factors of 34274

List of positive integer factors of 34274 that divides 34266 without a remainder.

1, 2, 17137

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34266 and 34274. The biggest common factor number is the GCF number.
So the greatest common factor 34266 and 34274 is 2.

Also check out the Least Common Multiple of 34266 and 34274