What is the Greatest Common Factor of 34258 and 34267?

Greatest common factor (GCF) of 34258 and 34267 is 1.

GCF(34258,34267) = 1

We will now calculate the prime factors of 34258 and 34267, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34258 and 34267.

How to find the GCF of 34258 and 34267?

We will first find the prime factorization of 34258 and 34267. After we will calculate the factors of 34258 and 34267 and find the biggest common factor number .

Step-1: Prime Factorization of 34258

Prime factors of 34258 are 2, 7, 2447. Prime factorization of 34258 in exponential form is:

34258 = 2¹ × 7¹ × 2447¹

Step-2: Prime Factorization of 34267

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

34267 = 34267¹

Step-3: Factors of 34258

List of positive integer factors of 34258 that divides 34258 without a remainder.

1, 2, 7, 14, 2447, 4894, 17129

Step-4: Factors of 34267

List of positive integer factors of 34267 that divides 34258 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34258 and 34267. The biggest common factor number is the GCF number.
So the greatest common factor 34258 and 34267 is 1.

Also check out the Least Common Multiple of 34258 and 34267