What is the Greatest Common Factor of 39234 and 39247?

Greatest common factor (GCF) of 39234 and 39247 is 13.

GCF(39234,39247) = 13

We will now calculate the prime factors of 39234 and 39247, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39234 and 39247.

How to find the GCF of 39234 and 39247?

We will first find the prime factorization of 39234 and 39247. After we will calculate the factors of 39234 and 39247 and find the biggest common factor number .

Step-1: Prime Factorization of 39234

Prime factors of 39234 are 2, 3, 13, 503. Prime factorization of 39234 in exponential form is:

39234 = 2¹ × 3¹ × 13¹ × 503¹

Step-2: Prime Factorization of 39247

Prime factors of 39247 are 13, 3019. Prime factorization of 39247 in exponential form is:

39247 = 13¹ × 3019¹

Step-3: Factors of 39234

List of positive integer factors of 39234 that divides 39234 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 503, 1006, 1509, 3018, 6539, 13078, 19617

Step-4: Factors of 39247

List of positive integer factors of 39247 that divides 39234 without a remainder.

1, 13, 3019

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39234 and 39247. The biggest common factor number is the GCF number.
So the greatest common factor 39234 and 39247 is 13.

Also check out the Least Common Multiple of 39234 and 39247