What is the Greatest Common Factor of 38496 and 38511?

Greatest common factor (GCF) of 38496 and 38511 is 3.

GCF(38496,38511) = 3

We will now calculate the prime factors of 38496 and 38511, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38496 and 38511.

How to find the GCF of 38496 and 38511?

We will first find the prime factorization of 38496 and 38511. After we will calculate the factors of 38496 and 38511 and find the biggest common factor number .

Step-1: Prime Factorization of 38496

Prime factors of 38496 are 2, 3, 401. Prime factorization of 38496 in exponential form is:

38496 = 2⁵ × 3¹ × 401¹

Step-2: Prime Factorization of 38511

Prime factors of 38511 are 3, 11, 389. Prime factorization of 38511 in exponential form is:

38511 = 3² × 11¹ × 389¹

Step-3: Factors of 38496

List of positive integer factors of 38496 that divides 38496 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 401, 802, 1203, 1604, 2406, 3208, 4812, 6416, 9624, 12832, 19248

Step-4: Factors of 38511

List of positive integer factors of 38511 that divides 38496 without a remainder.

1, 3, 9, 11, 33, 99, 389, 1167, 3501, 4279, 12837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38496 and 38511. The biggest common factor number is the GCF number.
So the greatest common factor 38496 and 38511 is 3.

Also check out the Least Common Multiple of 38496 and 38511