What is the Greatest Common Factor of 26836 and 26848?

Greatest common factor (GCF) of 26836 and 26848 is 4.

GCF(26836,26848) = 4

We will now calculate the prime factors of 26836 and 26848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26836 and 26848.

How to find the GCF of 26836 and 26848?

We will first find the prime factorization of 26836 and 26848. After we will calculate the factors of 26836 and 26848 and find the biggest common factor number .

Step-1: Prime Factorization of 26836

Prime factors of 26836 are 2, 6709. Prime factorization of 26836 in exponential form is:

26836 = 2² × 6709¹

Step-2: Prime Factorization of 26848

Prime factors of 26848 are 2, 839. Prime factorization of 26848 in exponential form is:

26848 = 2⁵ × 839¹

Step-3: Factors of 26836

List of positive integer factors of 26836 that divides 26836 without a remainder.

1, 2, 4, 6709, 13418

Step-4: Factors of 26848

List of positive integer factors of 26848 that divides 26836 without a remainder.

1, 2, 4, 8, 16, 32, 839, 1678, 3356, 6712, 13424

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26836 and 26848. The biggest common factor number is the GCF number.
So the greatest common factor 26836 and 26848 is 4.

Also check out the Least Common Multiple of 26836 and 26848