What is the Greatest Common Factor of 82089 and 82097?

Greatest common factor (GCF) of 82089 and 82097 is 1.

GCF(82089,82097) = 1

We will now calculate the prime factors of 82089 and 82097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82089 and 82097.

How to find the GCF of 82089 and 82097?

We will first find the prime factorization of 82089 and 82097. After we will calculate the factors of 82089 and 82097 and find the biggest common factor number .

Step-1: Prime Factorization of 82089

Prime factors of 82089 are 3, 7, 1303. Prime factorization of 82089 in exponential form is:

82089 = 3² × 7¹ × 1303¹

Step-2: Prime Factorization of 82097

Prime factors of 82097 are 53, 1549. Prime factorization of 82097 in exponential form is:

82097 = 53¹ × 1549¹

Step-3: Factors of 82089

List of positive integer factors of 82089 that divides 82089 without a remainder.

1, 3, 7, 9, 21, 63, 1303, 3909, 9121, 11727, 27363

Step-4: Factors of 82097

List of positive integer factors of 82097 that divides 82089 without a remainder.

1, 53, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82089 and 82097. The biggest common factor number is the GCF number.
So the greatest common factor 82089 and 82097 is 1.

Also check out the Least Common Multiple of 82089 and 82097