What is the Greatest Common Factor of 2082 and 2089?

Greatest common factor (GCF) of 2082 and 2089 is 1.

GCF(2082,2089) = 1

We will now calculate the prime factors of 2082 and 2089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2082 and 2089.

How to find the GCF of 2082 and 2089?

We will first find the prime factorization of 2082 and 2089. After we will calculate the factors of 2082 and 2089 and find the biggest common factor number .

Step-1: Prime Factorization of 2082

Prime factors of 2082 are 2, 3, 347. Prime factorization of 2082 in exponential form is:

2082 = 2¹ × 3¹ × 347¹

Step-2: Prime Factorization of 2089

Prime factors of 2089 are 2089. Prime factorization of 2089 in exponential form is:

2089 = 2089¹

Step-3: Factors of 2082

List of positive integer factors of 2082 that divides 2082 without a remainder.

1, 2, 3, 6, 347, 694, 1041

Step-4: Factors of 2089

List of positive integer factors of 2089 that divides 2082 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2082 and 2089. The biggest common factor number is the GCF number.
So the greatest common factor 2082 and 2089 is 1.

Also check out the Least Common Multiple of 2082 and 2089