What is the Greatest Common Factor of 2082 and 2086?

Greatest common factor (GCF) of 2082 and 2086 is 2.

GCF(2082,2086) = 2

We will now calculate the prime factors of 2082 and 2086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2082 and 2086.

How to find the GCF of 2082 and 2086?

We will first find the prime factorization of 2082 and 2086. After we will calculate the factors of 2082 and 2086 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 2086

Prime factors of 2086 are 2, 7, 149. Prime factorization of 2086 in exponential form is:

2086 = 2¹ × 7¹ × 149¹

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 2086

List of positive integer factors of 2086 that divides 2082 without a remainder.

1, 2, 7, 14, 149, 298, 1043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2082 and 2086. The biggest common factor number is the GCF number.
So the greatest common factor 2082 and 2086 is 2.

Also check out the Least Common Multiple of 2082 and 2086