What is the Greatest Common Factor of 26800 and 26817?

Greatest common factor (GCF) of 26800 and 26817 is 1.

GCF(26800,26817) = 1

We will now calculate the prime factors of 26800 and 26817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26800 and 26817.

How to find the GCF of 26800 and 26817?

We will first find the prime factorization of 26800 and 26817. After we will calculate the factors of 26800 and 26817 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 26817

Prime factors of 26817 are 3, 7, 1277. Prime factorization of 26817 in exponential form is:

26817 = 3¹ × 7¹ × 1277¹

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 26817

List of positive integer factors of 26817 that divides 26800 without a remainder.

1, 3, 7, 21, 1277, 3831, 8939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26800 and 26817. The biggest common factor number is the GCF number.
So the greatest common factor 26800 and 26817 is 1.

Also check out the Least Common Multiple of 26800 and 26817