What is the Greatest Common Factor of 38478 and 38487?

Greatest common factor (GCF) of 38478 and 38487 is 3.

GCF(38478,38487) = 3

We will now calculate the prime factors of 38478 and 38487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38478 and 38487.

How to find the GCF of 38478 and 38487?

We will first find the prime factorization of 38478 and 38487. After we will calculate the factors of 38478 and 38487 and find the biggest common factor number .

Step-1: Prime Factorization of 38478

Prime factors of 38478 are 2, 3, 11, 53. Prime factorization of 38478 in exponential form is:

38478 = 2¹ × 3¹ × 11² × 53¹

Step-2: Prime Factorization of 38487

Prime factors of 38487 are 3, 12829. Prime factorization of 38487 in exponential form is:

38487 = 3¹ × 12829¹

Step-3: Factors of 38478

List of positive integer factors of 38478 that divides 38478 without a remainder.

1, 2, 3, 6, 11, 22, 33, 53, 66, 106, 121, 159, 242, 318, 363, 583, 726, 1166, 1749, 3498, 6413, 12826, 19239

Step-4: Factors of 38487

List of positive integer factors of 38487 that divides 38478 without a remainder.

1, 3, 12829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38478 and 38487. The biggest common factor number is the GCF number.
So the greatest common factor 38478 and 38487 is 3.

Also check out the Least Common Multiple of 38478 and 38487