What is the Greatest Common Factor of 6234 and 6239?

Greatest common factor (GCF) of 6234 and 6239 is 1.

GCF(6234,6239) = 1

We will now calculate the prime factors of 6234 and 6239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6234 and 6239.

How to find the GCF of 6234 and 6239?

We will first find the prime factorization of 6234 and 6239. After we will calculate the factors of 6234 and 6239 and find the biggest common factor number .

Step-1: Prime Factorization of 6234

Prime factors of 6234 are 2, 3, 1039. Prime factorization of 6234 in exponential form is:

6234 = 2¹ × 3¹ × 1039¹

Step-2: Prime Factorization of 6239

Prime factors of 6239 are 17, 367. Prime factorization of 6239 in exponential form is:

6239 = 17¹ × 367¹

Step-3: Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1, 2, 3, 6, 1039, 2078, 3117

Step-4: Factors of 6239

List of positive integer factors of 6239 that divides 6234 without a remainder.

1, 17, 367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6234 and 6239. The biggest common factor number is the GCF number.
So the greatest common factor 6234 and 6239 is 1.

Also check out the Least Common Multiple of 6234 and 6239