What is the Greatest Common Factor of 26565 and 26583?

Greatest common factor (GCF) of 26565 and 26583 is 3.

GCF(26565,26583) = 3

We will now calculate the prime factors of 26565 and 26583, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26565 and 26583.

How to find the GCF of 26565 and 26583?

We will first find the prime factorization of 26565 and 26583. After we will calculate the factors of 26565 and 26583 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 26583

Prime factors of 26583 are 3, 8861. Prime factorization of 26583 in exponential form is:

26583 = 3¹ × 8861¹

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 26583

List of positive integer factors of 26583 that divides 26565 without a remainder.

1, 3, 8861

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26565 and 26583. The biggest common factor number is the GCF number.
So the greatest common factor 26565 and 26583 is 3.

Also check out the Least Common Multiple of 26565 and 26583