What is the Greatest Common Factor of 47856 and 47865?

Greatest common factor (GCF) of 47856 and 47865 is 3.

GCF(47856,47865) = 3

We will now calculate the prime factors of 47856 and 47865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47856 and 47865.

How to find the GCF of 47856 and 47865?

We will first find the prime factorization of 47856 and 47865. After we will calculate the factors of 47856 and 47865 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 47865

Prime factors of 47865 are 3, 5, 3191. Prime factorization of 47865 in exponential form is:

47865 = 3¹ × 5¹ × 3191¹

Step-3: Factors of 47856

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

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

Step-4: Factors of 47865

List of positive integer factors of 47865 that divides 47856 without a remainder.

1, 3, 5, 15, 3191, 9573, 15955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47856 and 47865. The biggest common factor number is the GCF number.
So the greatest common factor 47856 and 47865 is 3.

Also check out the Least Common Multiple of 47856 and 47865