What is the Greatest Common Factor of 47904 and 47923?

Greatest common factor (GCF) of 47904 and 47923 is 1.

GCF(47904,47923) = 1

We will now calculate the prime factors of 47904 and 47923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47904 and 47923.

How to find the GCF of 47904 and 47923?

We will first find the prime factorization of 47904 and 47923. After we will calculate the factors of 47904 and 47923 and find the biggest common factor number .

Step-1: Prime Factorization of 47904

Prime factors of 47904 are 2, 3, 499. Prime factorization of 47904 in exponential form is:

47904 = 2⁵ × 3¹ × 499¹

Step-2: Prime Factorization of 47923

Prime factors of 47923 are 17, 2819. Prime factorization of 47923 in exponential form is:

47923 = 17¹ × 2819¹

Step-3: Factors of 47904

List of positive integer factors of 47904 that divides 47904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952

Step-4: Factors of 47923

List of positive integer factors of 47923 that divides 47904 without a remainder.

1, 17, 2819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47904 and 47923. The biggest common factor number is the GCF number.
So the greatest common factor 47904 and 47923 is 1.

Also check out the Least Common Multiple of 47904 and 47923