What is the Greatest Common Factor of 38686 and 38702?

Greatest common factor (GCF) of 38686 and 38702 is 2.

GCF(38686,38702) = 2

We will now calculate the prime factors of 38686 and 38702, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38686 and 38702.

How to find the GCF of 38686 and 38702?

We will first find the prime factorization of 38686 and 38702. After we will calculate the factors of 38686 and 38702 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 38702

Prime factors of 38702 are 2, 37, 523. Prime factorization of 38702 in exponential form is:

38702 = 2¹ × 37¹ × 523¹

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 38702

List of positive integer factors of 38702 that divides 38686 without a remainder.

1, 2, 37, 74, 523, 1046, 19351

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38686 and 38702. The biggest common factor number is the GCF number.
So the greatest common factor 38686 and 38702 is 2.

Also check out the Least Common Multiple of 38686 and 38702