What is the Greatest Common Factor of 34237 and 34251?

Greatest common factor (GCF) of 34237 and 34251 is 7.

GCF(34237,34251) = 7

We will now calculate the prime factors of 34237 and 34251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 34237 and 34251.

How to find the GCF of 34237 and 34251?

We will first find the prime factorization of 34237 and 34251. After we will calculate the factors of 34237 and 34251 and find the biggest common factor number .

Step-1: Prime Factorization of 34237

Prime factors of 34237 are 7, 67, 73. Prime factorization of 34237 in exponential form is:

34237 = 7¹ × 67¹ × 73¹

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 34237

List of positive integer factors of 34237 that divides 34237 without a remainder.

1, 7, 67, 73, 469, 511, 4891

Step-4: Factors of 34251

List of positive integer factors of 34251 that divides 34237 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 34237 and 34251. The biggest common factor number is the GCF number.
So the greatest common factor 34237 and 34251 is 7.

Also check out the Least Common Multiple of 34237 and 34251