What is the Greatest Common Factor of 83979 and 83989?

Greatest common factor (GCF) of 83979 and 83989 is 1.

GCF(83979,83989) = 1

We will now calculate the prime factors of 83979 and 83989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83979 and 83989.

How to find the GCF of 83979 and 83989?

We will first find the prime factorization of 83979 and 83989. After we will calculate the factors of 83979 and 83989 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 83989

Prime factors of 83989 are 47, 1787. Prime factorization of 83989 in exponential form is:

83989 = 47¹ × 1787¹

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 83989

List of positive integer factors of 83989 that divides 83979 without a remainder.

1, 47, 1787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83979 and 83989. The biggest common factor number is the GCF number.
So the greatest common factor 83979 and 83989 is 1.

Also check out the Least Common Multiple of 83979 and 83989