What is the Greatest Common Factor of 26824 and 26828?

Greatest common factor (GCF) of 26824 and 26828 is 4.

GCF(26824,26828) = 4

We will now calculate the prime factors of 26824 and 26828, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26824 and 26828.

How to find the GCF of 26824 and 26828?

We will first find the prime factorization of 26824 and 26828. After we will calculate the factors of 26824 and 26828 and find the biggest common factor number .

Step-1: Prime Factorization of 26824

Prime factors of 26824 are 2, 7, 479. Prime factorization of 26824 in exponential form is:

26824 = 2³ × 7¹ × 479¹

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 26824

List of positive integer factors of 26824 that divides 26824 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 479, 958, 1916, 3353, 3832, 6706, 13412

Step-4: Factors of 26828

List of positive integer factors of 26828 that divides 26824 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 26824 and 26828. The biggest common factor number is the GCF number.
So the greatest common factor 26824 and 26828 is 4.

Also check out the Least Common Multiple of 26824 and 26828