What is the Greatest Common Factor of 26565 and 26575?

Greatest common factor (GCF) of 26565 and 26575 is 5.

GCF(26565,26575) = 5

We will now calculate the prime factors of 26565 and 26575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26565 and 26575.

How to find the GCF of 26565 and 26575?

We will first find the prime factorization of 26565 and 26575. After we will calculate the factors of 26565 and 26575 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 26575

Prime factors of 26575 are 5, 1063. Prime factorization of 26575 in exponential form is:

26575 = 5² × 1063¹

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 26575

List of positive integer factors of 26575 that divides 26565 without a remainder.

1, 5, 25, 1063, 5315

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26565 and 26575. The biggest common factor number is the GCF number.
So the greatest common factor 26565 and 26575 is 5.

Also check out the Least Common Multiple of 26565 and 26575