What is the Greatest Common Factor of 83981 and 83993?

Greatest common factor (GCF) of 83981 and 83993 is 1.

GCF(83981,83993) = 1

We will now calculate the prime factors of 83981 and 83993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83981 and 83993.

How to find the GCF of 83981 and 83993?

We will first find the prime factorization of 83981 and 83993. After we will calculate the factors of 83981 and 83993 and find the biggest common factor number .

Step-1: Prime Factorization of 83981

Prime factors of 83981 are 137, 613. Prime factorization of 83981 in exponential form is:

83981 = 137¹ × 613¹

Step-2: Prime Factorization of 83993

Prime factors of 83993 are 7, 13, 71. Prime factorization of 83993 in exponential form is:

83993 = 7¹ × 13² × 71¹

Step-3: Factors of 83981

List of positive integer factors of 83981 that divides 83981 without a remainder.

1, 137, 613

Step-4: Factors of 83993

List of positive integer factors of 83993 that divides 83981 without a remainder.

1, 7, 13, 71, 91, 169, 497, 923, 1183, 6461, 11999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83981 and 83993. The biggest common factor number is the GCF number.
So the greatest common factor 83981 and 83993 is 1.

Also check out the Least Common Multiple of 83981 and 83993