What is the Greatest Common Factor of 26809 and 26825?

Greatest common factor (GCF) of 26809 and 26825 is 1.

GCF(26809,26825) = 1

We will now calculate the prime factors of 26809 and 26825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26809 and 26825.

How to find the GCF of 26809 and 26825?

We will first find the prime factorization of 26809 and 26825. After we will calculate the factors of 26809 and 26825 and find the biggest common factor number .

Step-1: Prime Factorization of 26809

Prime factors of 26809 are 17, 19, 83. Prime factorization of 26809 in exponential form is:

26809 = 17¹ × 19¹ × 83¹

Step-2: Prime Factorization of 26825

Prime factors of 26825 are 5, 29, 37. Prime factorization of 26825 in exponential form is:

26825 = 5² × 29¹ × 37¹

Step-3: Factors of 26809

List of positive integer factors of 26809 that divides 26809 without a remainder.

1, 17, 19, 83, 323, 1411, 1577

Step-4: Factors of 26825

List of positive integer factors of 26825 that divides 26809 without a remainder.

1, 5, 25, 29, 37, 145, 185, 725, 925, 1073, 5365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26809 and 26825. The biggest common factor number is the GCF number.
So the greatest common factor 26809 and 26825 is 1.

Also check out the Least Common Multiple of 26809 and 26825