What is the Greatest Common Factor of 38658 and 38667?

Greatest common factor (GCF) of 38658 and 38667 is 3.

GCF(38658,38667) = 3

We will now calculate the prime factors of 38658 and 38667, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38658 and 38667.

How to find the GCF of 38658 and 38667?

We will first find the prime factorization of 38658 and 38667. After we will calculate the factors of 38658 and 38667 and find the biggest common factor number .

Step-1: Prime Factorization of 38658

Prime factors of 38658 are 2, 3, 17, 379. Prime factorization of 38658 in exponential form is:

38658 = 2¹ × 3¹ × 17¹ × 379¹

Step-2: Prime Factorization of 38667

Prime factors of 38667 are 3, 12889. Prime factorization of 38667 in exponential form is:

38667 = 3¹ × 12889¹

Step-3: Factors of 38658

List of positive integer factors of 38658 that divides 38658 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 379, 758, 1137, 2274, 6443, 12886, 19329

Step-4: Factors of 38667

List of positive integer factors of 38667 that divides 38658 without a remainder.

1, 3, 12889

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38658 and 38667. The biggest common factor number is the GCF number.
So the greatest common factor 38658 and 38667 is 3.

Also check out the Least Common Multiple of 38658 and 38667