What is the Greatest Common Factor of 39286 and 39299?

Greatest common factor (GCF) of 39286 and 39299 is 13.

GCF(39286,39299) = 13

We will now calculate the prime factors of 39286 and 39299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39286 and 39299.

How to find the GCF of 39286 and 39299?

We will first find the prime factorization of 39286 and 39299. After we will calculate the factors of 39286 and 39299 and find the biggest common factor number .

Step-1: Prime Factorization of 39286

Prime factors of 39286 are 2, 13, 1511. Prime factorization of 39286 in exponential form is:

39286 = 2¹ × 13¹ × 1511¹

Step-2: Prime Factorization of 39299

Prime factors of 39299 are 13, 3023. Prime factorization of 39299 in exponential form is:

39299 = 13¹ × 3023¹

Step-3: Factors of 39286

List of positive integer factors of 39286 that divides 39286 without a remainder.

1, 2, 13, 26, 1511, 3022, 19643

Step-4: Factors of 39299

List of positive integer factors of 39299 that divides 39286 without a remainder.

1, 13, 3023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39286 and 39299. The biggest common factor number is the GCF number.
So the greatest common factor 39286 and 39299 is 13.

Also check out the Least Common Multiple of 39286 and 39299