What is the Greatest Common Factor of 34239 and 34251?

Greatest common factor (GCF) of 34239 and 34251 is 3.

GCF(34239,34251) = 3

We will now calculate the prime factors of 34239 and 34251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34239 and 34251.

How to find the GCF of 34239 and 34251?

We will first find the prime factorization of 34239 and 34251. After we will calculate the factors of 34239 and 34251 and find the biggest common factor number .

Step-1: Prime Factorization of 34239

Prime factors of 34239 are 3, 101, 113. Prime factorization of 34239 in exponential form is:

34239 = 3¹ × 101¹ × 113¹

Step-2: 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-3: Factors of 34239

List of positive integer factors of 34239 that divides 34239 without a remainder.

1, 3, 101, 113, 303, 339, 11413

Step-4: Factors of 34251

List of positive integer factors of 34251 that divides 34239 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 34239 and 34251. The biggest common factor number is the GCF number.
So the greatest common factor 34239 and 34251 is 3.

Also check out the Least Common Multiple of 34239 and 34251