What is the Greatest Common Factor of 38686 and 38699?

Greatest common factor (GCF) of 38686 and 38699 is 1.

GCF(38686,38699) = 1

We will now calculate the prime factors of 38686 and 38699, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38686 and 38699.

How to find the GCF of 38686 and 38699?

We will first find the prime factorization of 38686 and 38699. After we will calculate the factors of 38686 and 38699 and find the biggest common factor number .

Step-1: Prime Factorization of 38686

Prime factors of 38686 are 2, 23, 29. Prime factorization of 38686 in exponential form is:

38686 = 2¹ × 23¹ × 29²

Step-2: Prime Factorization of 38699

Prime factors of 38699 are 38699. Prime factorization of 38699 in exponential form is:

38699 = 38699¹

Step-3: Factors of 38686

List of positive integer factors of 38686 that divides 38686 without a remainder.

1, 2, 23, 29, 46, 58, 667, 841, 1334, 1682, 19343

Step-4: Factors of 38699

List of positive integer factors of 38699 that divides 38686 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38686 and 38699. The biggest common factor number is the GCF number.
So the greatest common factor 38686 and 38699 is 1.

Also check out the Least Common Multiple of 38686 and 38699