What is the Greatest Common Factor of 38484 and 38496?

Greatest common factor (GCF) of 38484 and 38496 is 12.

GCF(38484,38496) = 12

We will now calculate the prime factors of 38484 and 38496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38484 and 38496.

How to find the GCF of 38484 and 38496?

We will first find the prime factorization of 38484 and 38496. After we will calculate the factors of 38484 and 38496 and find the biggest common factor number .

Step-1: Prime Factorization of 38484

Prime factors of 38484 are 2, 3, 1069. Prime factorization of 38484 in exponential form is:

38484 = 2² × 3² × 1069¹

Step-2: 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-3: Factors of 38484

List of positive integer factors of 38484 that divides 38484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1069, 2138, 3207, 4276, 6414, 9621, 12828, 19242

Step-4: Factors of 38496

List of positive integer factors of 38496 that divides 38484 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38484 and 38496. The biggest common factor number is the GCF number.
So the greatest common factor 38484 and 38496 is 12.

Also check out the Least Common Multiple of 38484 and 38496