What is the Greatest Common Factor of 47478 and 47487?

Greatest common factor (GCF) of 47478 and 47487 is 3.

GCF(47478,47487) = 3

We will now calculate the prime factors of 47478 and 47487, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47478 and 47487.

How to find the GCF of 47478 and 47487?

We will first find the prime factorization of 47478 and 47487. After we will calculate the factors of 47478 and 47487 and find the biggest common factor number .

Step-1: Prime Factorization of 47478

Prime factors of 47478 are 2, 3, 41, 193. Prime factorization of 47478 in exponential form is:

47478 = 2¹ × 3¹ × 41¹ × 193¹

Step-2: Prime Factorization of 47487

Prime factors of 47487 are 3, 11, 1439. Prime factorization of 47487 in exponential form is:

47487 = 3¹ × 11¹ × 1439¹

Step-3: Factors of 47478

List of positive integer factors of 47478 that divides 47478 without a remainder.

1, 2, 3, 6, 41, 82, 123, 193, 246, 386, 579, 1158, 7913, 15826, 23739

Step-4: Factors of 47487

List of positive integer factors of 47487 that divides 47478 without a remainder.

1, 3, 11, 33, 1439, 4317, 15829

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47478 and 47487. The biggest common factor number is the GCF number.
So the greatest common factor 47478 and 47487 is 3.

Also check out the Least Common Multiple of 47478 and 47487