What is the Greatest Common Factor of 34251 and 34258?

Greatest common factor (GCF) of 34251 and 34258 is 7.

GCF(34251,34258) = 7

We will now calculate the prime factors of 34251 and 34258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34251 and 34258.

How to find the GCF of 34251 and 34258?

We will first find the prime factorization of 34251 and 34258. After we will calculate the factors of 34251 and 34258 and find the biggest common factor number .

Step-1: Prime Factorization of 34251

Prime factors of 34251 are 3, 7, 233. Prime factorization of 34251 in exponential form is:

34251 = 3¹ × 7² × 233¹

Step-2: 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-3: Factors of 34251

List of positive integer factors of 34251 that divides 34251 without a remainder.

1, 3, 7, 21, 49, 147, 233, 699, 1631, 4893, 11417

Step-4: Factors of 34258

List of positive integer factors of 34258 that divides 34251 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34251 and 34258. The biggest common factor number is the GCF number.
So the greatest common factor 34251 and 34258 is 7.

Also check out the Least Common Multiple of 34251 and 34258