What is the Greatest Common Factor of 26808 and 26814?

Greatest common factor (GCF) of 26808 and 26814 is 6.

GCF(26808,26814) = 6

We will now calculate the prime factors of 26808 and 26814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26808 and 26814.

How to find the GCF of 26808 and 26814?

We will first find the prime factorization of 26808 and 26814. After we will calculate the factors of 26808 and 26814 and find the biggest common factor number .

Step-1: Prime Factorization of 26808

Prime factors of 26808 are 2, 3, 1117. Prime factorization of 26808 in exponential form is:

26808 = 2³ × 3¹ × 1117¹

Step-2: Prime Factorization of 26814

Prime factors of 26814 are 2, 3, 41, 109. Prime factorization of 26814 in exponential form is:

26814 = 2¹ × 3¹ × 41¹ × 109¹

Step-3: Factors of 26808

List of positive integer factors of 26808 that divides 26808 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1117, 2234, 3351, 4468, 6702, 8936, 13404

Step-4: Factors of 26814

List of positive integer factors of 26814 that divides 26808 without a remainder.

1, 2, 3, 6, 41, 82, 109, 123, 218, 246, 327, 654, 4469, 8938, 13407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26808 and 26814. The biggest common factor number is the GCF number.
So the greatest common factor 26808 and 26814 is 6.

Also check out the Least Common Multiple of 26808 and 26814