What is the Greatest Common Factor of 47804 and 47823?

Greatest common factor (GCF) of 47804 and 47823 is 19.

GCF(47804,47823) = 19

We will now calculate the prime factors of 47804 and 47823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47804 and 47823.

How to find the GCF of 47804 and 47823?

We will first find the prime factorization of 47804 and 47823. After we will calculate the factors of 47804 and 47823 and find the biggest common factor number .

Step-1: Prime Factorization of 47804

Prime factors of 47804 are 2, 17, 19, 37. Prime factorization of 47804 in exponential form is:

47804 = 2² × 17¹ × 19¹ × 37¹

Step-2: Prime Factorization of 47823

Prime factors of 47823 are 3, 19, 839. Prime factorization of 47823 in exponential form is:

47823 = 3¹ × 19¹ × 839¹

Step-3: Factors of 47804

List of positive integer factors of 47804 that divides 47804 without a remainder.

1, 2, 4, 17, 19, 34, 37, 38, 68, 74, 76, 148, 323, 629, 646, 703, 1258, 1292, 1406, 2516, 2812, 11951, 23902

Step-4: Factors of 47823

List of positive integer factors of 47823 that divides 47804 without a remainder.

1, 3, 19, 57, 839, 2517, 15941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47804 and 47823. The biggest common factor number is the GCF number.
So the greatest common factor 47804 and 47823 is 19.

Also check out the Least Common Multiple of 47804 and 47823