What is the Greatest Common Factor of 34267 and 34286?

Greatest common factor (GCF) of 34267 and 34286 is 1.

GCF(34267,34286) = 1

We will now calculate the prime factors of 34267 and 34286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34267 and 34286.

How to find the GCF of 34267 and 34286?

We will first find the prime factorization of 34267 and 34286. After we will calculate the factors of 34267 and 34286 and find the biggest common factor number .

Step-1: Prime Factorization of 34267

Prime factors of 34267 are 34267. Prime factorization of 34267 in exponential form is:

34267 = 34267¹

Step-2: 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-3: Factors of 34267

List of positive integer factors of 34267 that divides 34267 without a remainder.

Step-4: Factors of 34286

List of positive integer factors of 34286 that divides 34267 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34267 and 34286. The biggest common factor number is the GCF number.
So the greatest common factor 34267 and 34286 is 1.

Also check out the Least Common Multiple of 34267 and 34286