What is the Greatest Common Factor of 83973 and 83989?

Greatest common factor (GCF) of 83973 and 83989 is 1.

GCF(83973,83989) = 1

We will now calculate the prime factors of 83973 and 83989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83973 and 83989.

How to find the GCF of 83973 and 83989?

We will first find the prime factorization of 83973 and 83989. After we will calculate the factors of 83973 and 83989 and find the biggest common factor number .

Step-1: Prime Factorization of 83973

Prime factors of 83973 are 3, 23, 1217. Prime factorization of 83973 in exponential form is:

83973 = 3¹ × 23¹ × 1217¹

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 83973

List of positive integer factors of 83973 that divides 83973 without a remainder.

1, 3, 23, 69, 1217, 3651, 27991

Step-4: Factors of 83989

List of positive integer factors of 83989 that divides 83973 without a remainder.

1, 47, 1787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83973 and 83989. The biggest common factor number is the GCF number.
So the greatest common factor 83973 and 83989 is 1.

Also check out the Least Common Multiple of 83973 and 83989