What is the Greatest Common Factor of 38658 and 38672?

Greatest common factor (GCF) of 38658 and 38672 is 2.

GCF(38658,38672) = 2

We will now calculate the prime factors of 38658 and 38672, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38658 and 38672.

How to find the GCF of 38658 and 38672?

We will first find the prime factorization of 38658 and 38672. After we will calculate the factors of 38658 and 38672 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 38672

Prime factors of 38672 are 2, 2417. Prime factorization of 38672 in exponential form is:

38672 = 2⁴ × 2417¹

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 38672

List of positive integer factors of 38672 that divides 38658 without a remainder.

1, 2, 4, 8, 16, 2417, 4834, 9668, 19336

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38658 and 38672. The biggest common factor number is the GCF number.
So the greatest common factor 38658 and 38672 is 2.

Also check out the Least Common Multiple of 38658 and 38672