What is the Greatest Common Factor of 26565 and 26585?

Greatest common factor (GCF) of 26565 and 26585 is 5.

GCF(26565,26585) = 5

We will now calculate the prime factors of 26565 and 26585, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26565 and 26585.

How to find the GCF of 26565 and 26585?

We will first find the prime factorization of 26565 and 26585. After we will calculate the factors of 26565 and 26585 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 26585

Prime factors of 26585 are 5, 13, 409. Prime factorization of 26585 in exponential form is:

26585 = 5¹ × 13¹ × 409¹

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 26585

List of positive integer factors of 26585 that divides 26565 without a remainder.

1, 5, 13, 65, 409, 2045, 5317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26565 and 26585. The biggest common factor number is the GCF number.
So the greatest common factor 26565 and 26585 is 5.

Also check out the Least Common Multiple of 26565 and 26585