What is the Greatest Common Factor of 81997 and 82003?

Greatest common factor (GCF) of 81997 and 82003 is 1.

GCF(81997,82003) = 1

We will now calculate the prime factors of 81997 and 82003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81997 and 82003.

How to find the GCF of 81997 and 82003?

We will first find the prime factorization of 81997 and 82003. After we will calculate the factors of 81997 and 82003 and find the biggest common factor number .

Step-1: Prime Factorization of 81997

Prime factors of 81997 are 167, 491. Prime factorization of 81997 in exponential form is:

81997 = 167¹ × 491¹

Step-2: Prime Factorization of 82003

Prime factors of 82003 are 82003. Prime factorization of 82003 in exponential form is:

82003 = 82003¹

Step-3: Factors of 81997

List of positive integer factors of 81997 that divides 81997 without a remainder.

1, 167, 491

Step-4: Factors of 82003

List of positive integer factors of 82003 that divides 81997 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81997 and 82003. The biggest common factor number is the GCF number.
So the greatest common factor 81997 and 82003 is 1.

Also check out the Least Common Multiple of 81997 and 82003