What is the Greatest Common Factor of 2684 and 2695?

Greatest common factor (GCF) of 2684 and 2695 is 11.

GCF(2684,2695) = 11

We will now calculate the prime factors of 2684 and 2695, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2684 and 2695.

How to find the GCF of 2684 and 2695?

We will first find the prime factorization of 2684 and 2695. After we will calculate the factors of 2684 and 2695 and find the biggest common factor number .

Step-1: Prime Factorization of 2684

Prime factors of 2684 are 2, 11, 61. Prime factorization of 2684 in exponential form is:

2684 = 2² × 11¹ × 61¹

Step-2: Prime Factorization of 2695

Prime factors of 2695 are 5, 7, 11. Prime factorization of 2695 in exponential form is:

2695 = 5¹ × 7² × 11¹

Step-3: Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342

Step-4: Factors of 2695

List of positive integer factors of 2695 that divides 2684 without a remainder.

1, 5, 7, 11, 35, 49, 55, 77, 245, 385, 539

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2684 and 2695. The biggest common factor number is the GCF number.
So the greatest common factor 2684 and 2695 is 11.

Also check out the Least Common Multiple of 2684 and 2695