What is the Greatest Common Factor of 71991 and 71999?

Greatest common factor (GCF) of 71991 and 71999 is 1.

GCF(71991,71999) = 1

We will now calculate the prime factors of 71991 and 71999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71991 and 71999.

How to find the GCF of 71991 and 71999?

We will first find the prime factorization of 71991 and 71999. After we will calculate the factors of 71991 and 71999 and find the biggest common factor number .

Step-1: Prime Factorization of 71991

Prime factors of 71991 are 3, 19, 421. Prime factorization of 71991 in exponential form is:

71991 = 3² × 19¹ × 421¹

Step-2: Prime Factorization of 71999

Prime factors of 71999 are 71999. Prime factorization of 71999 in exponential form is:

71999 = 71999¹

Step-3: Factors of 71991

List of positive integer factors of 71991 that divides 71991 without a remainder.

1, 3, 9, 19, 57, 171, 421, 1263, 3789, 7999, 23997

Step-4: Factors of 71999

List of positive integer factors of 71999 that divides 71991 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71991 and 71999. The biggest common factor number is the GCF number.
So the greatest common factor 71991 and 71999 is 1.

Also check out the Least Common Multiple of 71991 and 71999