What is the Greatest Common Factor of 26814 and 26821?

Greatest common factor (GCF) of 26814 and 26821 is 1.

GCF(26814,26821) = 1

We will now calculate the prime factors of 26814 and 26821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26814 and 26821.

How to find the GCF of 26814 and 26821?

We will first find the prime factorization of 26814 and 26821. After we will calculate the factors of 26814 and 26821 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 26821

Prime factors of 26821 are 26821. Prime factorization of 26821 in exponential form is:

26821 = 26821¹

Step-3: Factors of 26814

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

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

Step-4: Factors of 26821

List of positive integer factors of 26821 that divides 26814 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26814 and 26821. The biggest common factor number is the GCF number.
So the greatest common factor 26814 and 26821 is 1.

Also check out the Least Common Multiple of 26814 and 26821