What is the Greatest Common Factor of 26800 and 26816?

Greatest common factor (GCF) of 26800 and 26816 is 16.

GCF(26800,26816) = 16

We will now calculate the prime factors of 26800 and 26816, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26800 and 26816.

How to find the GCF of 26800 and 26816?

We will first find the prime factorization of 26800 and 26816. After we will calculate the factors of 26800 and 26816 and find the biggest common factor number .

Step-1: Prime Factorization of 26800

Prime factors of 26800 are 2, 5, 67. Prime factorization of 26800 in exponential form is:

26800 = 2⁴ × 5² × 67¹

Step-2: Prime Factorization of 26816

Prime factors of 26816 are 2, 419. Prime factorization of 26816 in exponential form is:

26816 = 2⁶ × 419¹

Step-3: Factors of 26800

List of positive integer factors of 26800 that divides 26800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 67, 80, 100, 134, 200, 268, 335, 400, 536, 670, 1072, 1340, 1675, 2680, 3350, 5360, 6700, 13400

Step-4: Factors of 26816

List of positive integer factors of 26816 that divides 26800 without a remainder.

1, 2, 4, 8, 16, 32, 64, 419, 838, 1676, 3352, 6704, 13408

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26800 and 26816. The biggest common factor number is the GCF number.
So the greatest common factor 26800 and 26816 is 16.

Also check out the Least Common Multiple of 26800 and 26816