What is the Greatest Common Factor of 2678 and 2686?

Greatest common factor (GCF) of 2678 and 2686 is 2.

GCF(2678,2686) = 2

We will now calculate the prime factors of 2678 and 2686, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2678 and 2686.

How to find the GCF of 2678 and 2686?

We will first find the prime factorization of 2678 and 2686. After we will calculate the factors of 2678 and 2686 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 2686

Prime factors of 2686 are 2, 17, 79. Prime factorization of 2686 in exponential form is:

2686 = 2¹ × 17¹ × 79¹

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 2686

List of positive integer factors of 2686 that divides 2678 without a remainder.

1, 2, 17, 34, 79, 158, 1343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2678 and 2686. The biggest common factor number is the GCF number.
So the greatest common factor 2678 and 2686 is 2.

Also check out the Least Common Multiple of 2678 and 2686