What is the Greatest Common Factor of 47904 and 47911?

Greatest common factor (GCF) of 47904 and 47911 is 1.

GCF(47904,47911) = 1

We will now calculate the prime factors of 47904 and 47911, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47904 and 47911.

How to find the GCF of 47904 and 47911?

We will first find the prime factorization of 47904 and 47911. After we will calculate the factors of 47904 and 47911 and find the biggest common factor number .

Step-1: Prime Factorization of 47904

Prime factors of 47904 are 2, 3, 499. Prime factorization of 47904 in exponential form is:

47904 = 2⁵ × 3¹ × 499¹

Step-2: Prime Factorization of 47911

Prime factors of 47911 are 47911. Prime factorization of 47911 in exponential form is:

47911 = 47911¹

Step-3: Factors of 47904

List of positive integer factors of 47904 that divides 47904 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 499, 998, 1497, 1996, 2994, 3992, 5988, 7984, 11976, 15968, 23952

Step-4: Factors of 47911

List of positive integer factors of 47911 that divides 47904 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47904 and 47911. The biggest common factor number is the GCF number.
So the greatest common factor 47904 and 47911 is 1.

Also check out the Least Common Multiple of 47904 and 47911