What is the Greatest Common Factor of 79983 and 79993?

Greatest common factor (GCF) of 79983 and 79993 is 1.

GCF(79983,79993) = 1

We will now calculate the prime factors of 79983 and 79993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 79983 and 79993.

How to find the GCF of 79983 and 79993?

We will first find the prime factorization of 79983 and 79993. After we will calculate the factors of 79983 and 79993 and find the biggest common factor number .

Step-1: Prime Factorization of 79983

Prime factors of 79983 are 3, 8887. Prime factorization of 79983 in exponential form is:

79983 = 3² × 8887¹

Step-2: Prime Factorization of 79993

Prime factors of 79993 are 167, 479. Prime factorization of 79993 in exponential form is:

79993 = 167¹ × 479¹

Step-3: Factors of 79983

List of positive integer factors of 79983 that divides 79983 without a remainder.

1, 3, 9, 8887, 26661

Step-4: Factors of 79993

List of positive integer factors of 79993 that divides 79983 without a remainder.

1, 167, 479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 79983 and 79993. The biggest common factor number is the GCF number.
So the greatest common factor 79983 and 79993 is 1.

Also check out the Least Common Multiple of 79983 and 79993