What is the Greatest Common Factor of 47823 and 47842?

Greatest common factor (GCF) of 47823 and 47842 is 19.

GCF(47823,47842) = 19

We will now calculate the prime factors of 47823 and 47842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47823 and 47842.

How to find the GCF of 47823 and 47842?

We will first find the prime factorization of 47823 and 47842. After we will calculate the factors of 47823 and 47842 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47842

Prime factors of 47842 are 2, 19, 1259. Prime factorization of 47842 in exponential form is:

47842 = 2¹ × 19¹ × 1259¹

Step-3: Factors of 47823

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

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

Step-4: Factors of 47842

List of positive integer factors of 47842 that divides 47823 without a remainder.

1, 2, 19, 38, 1259, 2518, 23921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47823 and 47842. The biggest common factor number is the GCF number.
So the greatest common factor 47823 and 47842 is 19.

Also check out the Least Common Multiple of 47823 and 47842