What is the Greatest Common Factor of 47811 and 47823?

Greatest common factor (GCF) of 47811 and 47823 is 3.

GCF(47811,47823) = 3

We will now calculate the prime factors of 47811 and 47823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47811 and 47823.

How to find the GCF of 47811 and 47823?

We will first find the prime factorization of 47811 and 47823. After we will calculate the factors of 47811 and 47823 and find the biggest common factor number .

Step-1: Prime Factorization of 47811

Prime factors of 47811 are 3, 15937. Prime factorization of 47811 in exponential form is:

47811 = 3¹ × 15937¹

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 47811

List of positive integer factors of 47811 that divides 47811 without a remainder.

1, 3, 15937

Step-4: Factors of 47823

List of positive integer factors of 47823 that divides 47811 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47811 and 47823. The biggest common factor number is the GCF number.
So the greatest common factor 47811 and 47823 is 3.

Also check out the Least Common Multiple of 47811 and 47823