What is the Greatest Common Factor of 26896 and 26902?

Greatest common factor (GCF) of 26896 and 26902 is 2.

GCF(26896,26902) = 2

We will now calculate the prime factors of 26896 and 26902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26896 and 26902.

How to find the GCF of 26896 and 26902?

We will first find the prime factorization of 26896 and 26902. After we will calculate the factors of 26896 and 26902 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 26902

Prime factors of 26902 are 2, 13451. Prime factorization of 26902 in exponential form is:

26902 = 2¹ × 13451¹

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 26902

List of positive integer factors of 26902 that divides 26896 without a remainder.

1, 2, 13451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26896 and 26902. The biggest common factor number is the GCF number.
So the greatest common factor 26896 and 26902 is 2.

Also check out the Least Common Multiple of 26896 and 26902