What is the Greatest Common Factor of 26791 and 26800?

Greatest common factor (GCF) of 26791 and 26800 is 1.

GCF(26791,26800) = 1

We will now calculate the prime factors of 26791 and 26800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26791 and 26800.

How to find the GCF of 26791 and 26800?

We will first find the prime factorization of 26791 and 26800. After we will calculate the factors of 26791 and 26800 and find the biggest common factor number .

Step-1: Prime Factorization of 26791

Prime factors of 26791 are 73, 367. Prime factorization of 26791 in exponential form is:

26791 = 73¹ × 367¹

Step-2: 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-3: Factors of 26791

List of positive integer factors of 26791 that divides 26791 without a remainder.

1, 73, 367

Step-4: Factors of 26800

List of positive integer factors of 26800 that divides 26791 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26791 and 26800. The biggest common factor number is the GCF number.
So the greatest common factor 26791 and 26800 is 1.

Also check out the Least Common Multiple of 26791 and 26800