What is the Greatest Common Factor of 34278 and 34294?

Greatest common factor (GCF) of 34278 and 34294 is 2.

GCF(34278,34294) = 2

We will now calculate the prime factors of 34278 and 34294, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34278 and 34294.

How to find the GCF of 34278 and 34294?

We will first find the prime factorization of 34278 and 34294. After we will calculate the factors of 34278 and 34294 and find the biggest common factor number .

Step-1: Prime Factorization of 34278

Prime factors of 34278 are 2, 3, 29, 197. Prime factorization of 34278 in exponential form is:

34278 = 2¹ × 3¹ × 29¹ × 197¹

Step-2: Prime Factorization of 34294

Prime factors of 34294 are 2, 13, 1319. Prime factorization of 34294 in exponential form is:

34294 = 2¹ × 13¹ × 1319¹

Step-3: Factors of 34278

List of positive integer factors of 34278 that divides 34278 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 197, 394, 591, 1182, 5713, 11426, 17139

Step-4: Factors of 34294

List of positive integer factors of 34294 that divides 34278 without a remainder.

1, 2, 13, 26, 1319, 2638, 17147

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34278 and 34294. The biggest common factor number is the GCF number.
So the greatest common factor 34278 and 34294 is 2.

Also check out the Least Common Multiple of 34278 and 34294