What is the Greatest Common Factor of 26505 and 26521?

Greatest common factor (GCF) of 26505 and 26521 is 1.

GCF(26505,26521) = 1

We will now calculate the prime factors of 26505 and 26521, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26505 and 26521.

How to find the GCF of 26505 and 26521?

We will first find the prime factorization of 26505 and 26521. After we will calculate the factors of 26505 and 26521 and find the biggest common factor number .

Step-1: Prime Factorization of 26505

Prime factors of 26505 are 3, 5, 19, 31. Prime factorization of 26505 in exponential form is:

26505 = 3² × 5¹ × 19¹ × 31¹

Step-2: Prime Factorization of 26521

Prime factors of 26521 are 11, 2411. Prime factorization of 26521 in exponential form is:

26521 = 11¹ × 2411¹

Step-3: Factors of 26505

List of positive integer factors of 26505 that divides 26505 without a remainder.

1, 3, 5, 9, 15, 19, 31, 45, 57, 93, 95, 155, 171, 279, 285, 465, 589, 855, 1395, 1767, 2945, 5301, 8835

Step-4: Factors of 26521

List of positive integer factors of 26521 that divides 26505 without a remainder.

1, 11, 2411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26505 and 26521. The biggest common factor number is the GCF number.
So the greatest common factor 26505 and 26521 is 1.

Also check out the Least Common Multiple of 26505 and 26521