What is the Greatest Common Factor of 47841 and 47856?

Greatest common factor (GCF) of 47841 and 47856 is 3.

GCF(47841,47856) = 3

We will now calculate the prime factors of 47841 and 47856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47841 and 47856.

How to find the GCF of 47841 and 47856?

We will first find the prime factorization of 47841 and 47856. After we will calculate the factors of 47841 and 47856 and find the biggest common factor number .

Step-1: Prime Factorization of 47841

Prime factors of 47841 are 3, 37, 431. Prime factorization of 47841 in exponential form is:

47841 = 3¹ × 37¹ × 431¹

Step-2: Prime Factorization of 47856

Prime factors of 47856 are 2, 3, 997. Prime factorization of 47856 in exponential form is:

47856 = 2⁴ × 3¹ × 997¹

Step-3: Factors of 47841

List of positive integer factors of 47841 that divides 47841 without a remainder.

1, 3, 37, 111, 431, 1293, 15947

Step-4: Factors of 47856

List of positive integer factors of 47856 that divides 47841 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 997, 1994, 2991, 3988, 5982, 7976, 11964, 15952, 23928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47841 and 47856. The biggest common factor number is the GCF number.
So the greatest common factor 47841 and 47856 is 3.

Also check out the Least Common Multiple of 47841 and 47856