What is the Greatest Common Factor of 26800 and 26815?

Greatest common factor (GCF) of 26800 and 26815 is 5.

GCF(26800,26815) = 5

We will now calculate the prime factors of 26800 and 26815, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26800 and 26815.

How to find the GCF of 26800 and 26815?

We will first find the prime factorization of 26800 and 26815. After we will calculate the factors of 26800 and 26815 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 26815

Prime factors of 26815 are 5, 31, 173. Prime factorization of 26815 in exponential form is:

26815 = 5¹ × 31¹ × 173¹

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 26815

List of positive integer factors of 26815 that divides 26800 without a remainder.

1, 5, 31, 155, 173, 865, 5363

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26800 and 26815. The biggest common factor number is the GCF number.
So the greatest common factor 26800 and 26815 is 5.

Also check out the Least Common Multiple of 26800 and 26815