What is the Greatest Common Factor of 26896 and 26906?

Greatest common factor (GCF) of 26896 and 26906 is 2.

GCF(26896,26906) = 2

We will now calculate the prime factors of 26896 and 26906, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26896 and 26906.

How to find the GCF of 26896 and 26906?

We will first find the prime factorization of 26896 and 26906. After we will calculate the factors of 26896 and 26906 and find the biggest common factor number .

Step-1: Prime Factorization of 26896

Prime factors of 26896 are 2, 41. Prime factorization of 26896 in exponential form is:

26896 = 2⁴ × 41²

Step-2: Prime Factorization of 26906

Prime factors of 26906 are 2, 11, 1223. Prime factorization of 26906 in exponential form is:

26906 = 2¹ × 11¹ × 1223¹

Step-3: Factors of 26896

List of positive integer factors of 26896 that divides 26896 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656, 1681, 3362, 6724, 13448

Step-4: Factors of 26906

List of positive integer factors of 26906 that divides 26896 without a remainder.

1, 2, 11, 22, 1223, 2446, 13453

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26896 and 26906. The biggest common factor number is the GCF number.
So the greatest common factor 26896 and 26906 is 2.

Also check out the Least Common Multiple of 26896 and 26906