What is the Greatest Common Factor of 47478 and 47490?

Greatest common factor (GCF) of 47478 and 47490 is 6.

GCF(47478,47490) = 6

We will now calculate the prime factors of 47478 and 47490, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47478 and 47490.

How to find the GCF of 47478 and 47490?

We will first find the prime factorization of 47478 and 47490. After we will calculate the factors of 47478 and 47490 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 47490

Prime factors of 47490 are 2, 3, 5, 1583. Prime factorization of 47490 in exponential form is:

47490 = 2¹ × 3¹ × 5¹ × 1583¹

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 47490

List of positive integer factors of 47490 that divides 47478 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1583, 3166, 4749, 7915, 9498, 15830, 23745

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47478 and 47490. The biggest common factor number is the GCF number.
So the greatest common factor 47478 and 47490 is 6.

Also check out the Least Common Multiple of 47478 and 47490