What is the Greatest Common Factor of 34294 and 34307?

Greatest common factor (GCF) of 34294 and 34307 is 13.

GCF(34294,34307) = 13

We will now calculate the prime factors of 34294 and 34307, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34294 and 34307.

How to find the GCF of 34294 and 34307?

We will first find the prime factorization of 34294 and 34307. After we will calculate the factors of 34294 and 34307 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 34307

Prime factors of 34307 are 7, 13, 29. Prime factorization of 34307 in exponential form is:

34307 = 7¹ × 13² × 29¹

Step-3: Factors of 34294

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

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

Step-4: Factors of 34307

List of positive integer factors of 34307 that divides 34294 without a remainder.

1, 7, 13, 29, 91, 169, 203, 377, 1183, 2639, 4901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34294 and 34307. The biggest common factor number is the GCF number.
So the greatest common factor 34294 and 34307 is 13.

Also check out the Least Common Multiple of 34294 and 34307