What is the Greatest Common Factor of 2678 and 2691?

Greatest common factor (GCF) of 2678 and 2691 is 13.

GCF(2678,2691) = 13

We will now calculate the prime factors of 2678 and 2691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2678 and 2691.

How to find the GCF of 2678 and 2691?

We will first find the prime factorization of 2678 and 2691. After we will calculate the factors of 2678 and 2691 and find the biggest common factor number .

Step-1: Prime Factorization of 2678

Prime factors of 2678 are 2, 13, 103. Prime factorization of 2678 in exponential form is:

2678 = 2¹ × 13¹ × 103¹

Step-2: Prime Factorization of 2691

Prime factors of 2691 are 3, 13, 23. Prime factorization of 2691 in exponential form is:

2691 = 3² × 13¹ × 23¹

Step-3: Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1, 2, 13, 26, 103, 206, 1339

Step-4: Factors of 2691

List of positive integer factors of 2691 that divides 2678 without a remainder.

1, 3, 9, 13, 23, 39, 69, 117, 207, 299, 897

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2678 and 2691. The biggest common factor number is the GCF number.
So the greatest common factor 2678 and 2691 is 13.

Also check out the Least Common Multiple of 2678 and 2691