What is the Greatest Common Factor of 26565 and 26571?

Greatest common factor (GCF) of 26565 and 26571 is 3.

GCF(26565,26571) = 3

We will now calculate the prime factors of 26565 and 26571, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26565 and 26571.

How to find the GCF of 26565 and 26571?

We will first find the prime factorization of 26565 and 26571. After we will calculate the factors of 26565 and 26571 and find the biggest common factor number .

Step-1: Prime Factorization of 26565

Prime factors of 26565 are 3, 5, 7, 11, 23. Prime factorization of 26565 in exponential form is:

26565 = 3¹ × 5¹ × 7¹ × 11¹ × 23¹

Step-2: Prime Factorization of 26571

Prime factors of 26571 are 3, 17, 521. Prime factorization of 26571 in exponential form is:

26571 = 3¹ × 17¹ × 521¹

Step-3: Factors of 26565

List of positive integer factors of 26565 that divides 26565 without a remainder.

1, 3, 5, 7, 11, 15, 21, 23, 33, 35, 55, 69, 77, 105, 115, 161, 165, 231, 253, 345, 385, 483, 759, 805, 1155, 1265, 1771, 2415, 3795, 5313, 8855

Step-4: Factors of 26571

List of positive integer factors of 26571 that divides 26565 without a remainder.

1, 3, 17, 51, 521, 1563, 8857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26565 and 26571. The biggest common factor number is the GCF number.
So the greatest common factor 26565 and 26571 is 3.

Also check out the Least Common Multiple of 26565 and 26571