What is the Greatest Common Factor of 47484 and 47496?

Greatest common factor (GCF) of 47484 and 47496 is 12.

GCF(47484,47496) = 12

We will now calculate the prime factors of 47484 and 47496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47484 and 47496.

How to find the GCF of 47484 and 47496?

We will first find the prime factorization of 47484 and 47496. After we will calculate the factors of 47484 and 47496 and find the biggest common factor number .

Step-1: Prime Factorization of 47484

Prime factors of 47484 are 2, 3, 1319. Prime factorization of 47484 in exponential form is:

47484 = 2² × 3² × 1319¹

Step-2: Prime Factorization of 47496

Prime factors of 47496 are 2, 3, 1979. Prime factorization of 47496 in exponential form is:

47496 = 2³ × 3¹ × 1979¹

Step-3: Factors of 47484

List of positive integer factors of 47484 that divides 47484 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1319, 2638, 3957, 5276, 7914, 11871, 15828, 23742

Step-4: Factors of 47496

List of positive integer factors of 47496 that divides 47484 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1979, 3958, 5937, 7916, 11874, 15832, 23748

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47484 and 47496. The biggest common factor number is the GCF number.
So the greatest common factor 47484 and 47496 is 12.

Also check out the Least Common Multiple of 47484 and 47496