What is the Greatest Common Factor of 47991 and 47999?

Greatest common factor (GCF) of 47991 and 47999 is 1.

GCF(47991,47999) = 1

We will now calculate the prime factors of 47991 and 47999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47991 and 47999.

How to find the GCF of 47991 and 47999?

We will first find the prime factorization of 47991 and 47999. After we will calculate the factors of 47991 and 47999 and find the biggest common factor number .

Step-1: Prime Factorization of 47991

Prime factors of 47991 are 3, 17, 941. Prime factorization of 47991 in exponential form is:

47991 = 3¹ × 17¹ × 941¹

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 47991

List of positive integer factors of 47991 that divides 47991 without a remainder.

1, 3, 17, 51, 941, 2823, 15997

Step-4: Factors of 47999

List of positive integer factors of 47999 that divides 47991 without a remainder.

1, 7, 6857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47991 and 47999. The biggest common factor number is the GCF number.
So the greatest common factor 47991 and 47999 is 1.

Also check out the Least Common Multiple of 47991 and 47999