What is the Greatest Common Factor of 26678 and 26696?

Greatest common factor (GCF) of 26678 and 26696 is 2.

GCF(26678,26696) = 2

We will now calculate the prime factors of 26678 and 26696, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26678 and 26696.

How to find the GCF of 26678 and 26696?

We will first find the prime factorization of 26678 and 26696. After we will calculate the factors of 26678 and 26696 and find the biggest common factor number .

Step-1: Prime Factorization of 26678

Prime factors of 26678 are 2, 13339. Prime factorization of 26678 in exponential form is:

26678 = 2¹ × 13339¹

Step-2: Prime Factorization of 26696

Prime factors of 26696 are 2, 47, 71. Prime factorization of 26696 in exponential form is:

26696 = 2³ × 47¹ × 71¹

Step-3: Factors of 26678

List of positive integer factors of 26678 that divides 26678 without a remainder.

1, 2, 13339

Step-4: Factors of 26696

List of positive integer factors of 26696 that divides 26678 without a remainder.

1, 2, 4, 8, 47, 71, 94, 142, 188, 284, 376, 568, 3337, 6674, 13348

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26678 and 26696. The biggest common factor number is the GCF number.
So the greatest common factor 26678 and 26696 is 2.

Also check out the Least Common Multiple of 26678 and 26696