What is the Greatest Common Factor of 83979 and 83999?

Greatest common factor (GCF) of 83979 and 83999 is 1.

GCF(83979,83999) = 1

We will now calculate the prime factors of 83979 and 83999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83979 and 83999.

How to find the GCF of 83979 and 83999?

We will first find the prime factorization of 83979 and 83999. After we will calculate the factors of 83979 and 83999 and find the biggest common factor number .

Step-1: Prime Factorization of 83979

Prime factors of 83979 are 3, 7, 31, 43. Prime factorization of 83979 in exponential form is:

83979 = 3² × 7¹ × 31¹ × 43¹

Step-2: Prime Factorization of 83999

Prime factors of 83999 are 19, 4421. Prime factorization of 83999 in exponential form is:

83999 = 19¹ × 4421¹

Step-3: Factors of 83979

List of positive integer factors of 83979 that divides 83979 without a remainder.

1, 3, 7, 9, 21, 31, 43, 63, 93, 129, 217, 279, 301, 387, 651, 903, 1333, 1953, 2709, 3999, 9331, 11997, 27993

Step-4: Factors of 83999

List of positive integer factors of 83999 that divides 83979 without a remainder.

1, 19, 4421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83979 and 83999. The biggest common factor number is the GCF number.
So the greatest common factor 83979 and 83999 is 1.

Also check out the Least Common Multiple of 83979 and 83999