What is the Greatest Common Factor of 26814 and 26828?

Greatest common factor (GCF) of 26814 and 26828 is 2.

GCF(26814,26828) = 2

We will now calculate the prime factors of 26814 and 26828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26814 and 26828.

How to find the GCF of 26814 and 26828?

We will first find the prime factorization of 26814 and 26828. After we will calculate the factors of 26814 and 26828 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 26828

Prime factors of 26828 are 2, 19, 353. Prime factorization of 26828 in exponential form is:

26828 = 2² × 19¹ × 353¹

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 26828

List of positive integer factors of 26828 that divides 26814 without a remainder.

1, 2, 4, 19, 38, 76, 353, 706, 1412, 6707, 13414

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26814 and 26828. The biggest common factor number is the GCF number.
So the greatest common factor 26814 and 26828 is 2.

Also check out the Least Common Multiple of 26814 and 26828