What is the Greatest Common Factor of 99983 and 99997?

Greatest common factor (GCF) of 99983 and 99997 is 1.

GCF(99983,99997) = 1

We will now calculate the prime factors of 99983 and 99997, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 99983 and 99997.

How to find the GCF of 99983 and 99997?

We will first find the prime factorization of 99983 and 99997. After we will calculate the factors of 99983 and 99997 and find the biggest common factor number .

Step-1: Prime Factorization of 99983

Prime factors of 99983 are 13, 7691. Prime factorization of 99983 in exponential form is:

99983 = 13¹ × 7691¹

Step-2: Prime Factorization of 99997

Prime factors of 99997 are 19, 277. Prime factorization of 99997 in exponential form is:

99997 = 19² × 277¹

Step-3: Factors of 99983

List of positive integer factors of 99983 that divides 99983 without a remainder.

1, 13, 7691

Step-4: Factors of 99997

List of positive integer factors of 99997 that divides 99983 without a remainder.

1, 19, 277, 361, 5263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 99983 and 99997. The biggest common factor number is the GCF number.
So the greatest common factor 99983 and 99997 is 1.

Also check out the Least Common Multiple of 99983 and 99997