What is the Greatest Common Factor of 2682 and 2697?

Greatest common factor (GCF) of 2682 and 2697 is 3.

GCF(2682,2697) = 3

We will now calculate the prime factors of 2682 and 2697, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2682 and 2697.

How to find the GCF of 2682 and 2697?

We will first find the prime factorization of 2682 and 2697. After we will calculate the factors of 2682 and 2697 and find the biggest common factor number .

Step-1: Prime Factorization of 2682

Prime factors of 2682 are 2, 3, 149. Prime factorization of 2682 in exponential form is:

2682 = 2¹ × 3² × 149¹

Step-2: Prime Factorization of 2697

Prime factors of 2697 are 3, 29, 31. Prime factorization of 2697 in exponential form is:

2697 = 3¹ × 29¹ × 31¹

Step-3: Factors of 2682

List of positive integer factors of 2682 that divides 2682 without a remainder.

1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341

Step-4: Factors of 2697

List of positive integer factors of 2697 that divides 2682 without a remainder.

1, 3, 29, 31, 87, 93, 899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2682 and 2697. The biggest common factor number is the GCF number.
So the greatest common factor 2682 and 2697 is 3.

Also check out the Least Common Multiple of 2682 and 2697