What is the Greatest Common Factor of 26565 and 26577?

Greatest common factor (GCF) of 26565 and 26577 is 3.

GCF(26565,26577) = 3

We will now calculate the prime factors of 26565 and 26577, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26565 and 26577.

How to find the GCF of 26565 and 26577?

We will first find the prime factorization of 26565 and 26577. After we will calculate the factors of 26565 and 26577 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 26577

Prime factors of 26577 are 3, 2953. Prime factorization of 26577 in exponential form is:

26577 = 3² × 2953¹

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 26577

List of positive integer factors of 26577 that divides 26565 without a remainder.

1, 3, 9, 2953, 8859

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26565 and 26577. The biggest common factor number is the GCF number.
So the greatest common factor 26565 and 26577 is 3.

Also check out the Least Common Multiple of 26565 and 26577