What is the Greatest Common Factor of 83979 and 83998?

Greatest common factor (GCF) of 83979 and 83998 is 1.

GCF(83979,83998) = 1

We will now calculate the prime factors of 83979 and 83998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83979 and 83998.

How to find the GCF of 83979 and 83998?

We will first find the prime factorization of 83979 and 83998. After we will calculate the factors of 83979 and 83998 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 83998

Prime factors of 83998 are 2, 41999. Prime factorization of 83998 in exponential form is:

83998 = 2¹ × 41999¹

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 83998

List of positive integer factors of 83998 that divides 83979 without a remainder.

1, 2, 41999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83979 and 83998. The biggest common factor number is the GCF number.
So the greatest common factor 83979 and 83998 is 1.

Also check out the Least Common Multiple of 83979 and 83998