What is the Greatest Common Factor of 26808 and 26823?

Greatest common factor (GCF) of 26808 and 26823 is 3.

GCF(26808,26823) = 3

We will now calculate the prime factors of 26808 and 26823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26808 and 26823.

How to find the GCF of 26808 and 26823?

We will first find the prime factorization of 26808 and 26823. After we will calculate the factors of 26808 and 26823 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 26823

Prime factors of 26823 are 3, 8941. Prime factorization of 26823 in exponential form is:

26823 = 3¹ × 8941¹

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 26823

List of positive integer factors of 26823 that divides 26808 without a remainder.

1, 3, 8941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26808 and 26823. The biggest common factor number is the GCF number.
So the greatest common factor 26808 and 26823 is 3.

Also check out the Least Common Multiple of 26808 and 26823