What is the Greatest Common Factor of 47982 and 47999?

Greatest common factor (GCF) of 47982 and 47999 is 1.

GCF(47982,47999) = 1

We will now calculate the prime factors of 47982 and 47999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47982 and 47999.

How to find the GCF of 47982 and 47999?

We will first find the prime factorization of 47982 and 47999. After we will calculate the factors of 47982 and 47999 and find the biggest common factor number .

Step-1: Prime Factorization of 47982

Prime factors of 47982 are 2, 3, 11, 727. Prime factorization of 47982 in exponential form is:

47982 = 2¹ × 3¹ × 11¹ × 727¹

Step-2: Prime Factorization of 47999

Prime factors of 47999 are 7, 6857. Prime factorization of 47999 in exponential form is:

47999 = 7¹ × 6857¹

Step-3: Factors of 47982

List of positive integer factors of 47982 that divides 47982 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 727, 1454, 2181, 4362, 7997, 15994, 23991

Step-4: Factors of 47999

List of positive integer factors of 47999 that divides 47982 without a remainder.

1, 7, 6857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47982 and 47999. The biggest common factor number is the GCF number.
So the greatest common factor 47982 and 47999 is 1.

Also check out the Least Common Multiple of 47982 and 47999