What is the Greatest Common Factor of 34286 and 34299?

Greatest common factor (GCF) of 34286 and 34299 is 1.

GCF(34286,34299) = 1

We will now calculate the prime factors of 34286 and 34299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34286 and 34299.

How to find the GCF of 34286 and 34299?

We will first find the prime factorization of 34286 and 34299. After we will calculate the factors of 34286 and 34299 and find the biggest common factor number .

Step-1: Prime Factorization of 34286

Prime factors of 34286 are 2, 7, 31, 79. Prime factorization of 34286 in exponential form is:

34286 = 2¹ × 7¹ × 31¹ × 79¹

Step-2: Prime Factorization of 34299

Prime factors of 34299 are 3, 37, 103. Prime factorization of 34299 in exponential form is:

34299 = 3² × 37¹ × 103¹

Step-3: Factors of 34286

List of positive integer factors of 34286 that divides 34286 without a remainder.

1, 2, 7, 14, 31, 62, 79, 158, 217, 434, 553, 1106, 2449, 4898, 17143

Step-4: Factors of 34299

List of positive integer factors of 34299 that divides 34286 without a remainder.

1, 3, 9, 37, 103, 111, 309, 333, 927, 3811, 11433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34286 and 34299. The biggest common factor number is the GCF number.
So the greatest common factor 34286 and 34299 is 1.

Also check out the Least Common Multiple of 34286 and 34299