What is the Greatest Common Factor of 26545 and 26565?

Greatest common factor (GCF) of 26545 and 26565 is 5.

GCF(26545,26565) = 5

We will now calculate the prime factors of 26545 and 26565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26545 and 26565.

How to find the GCF of 26545 and 26565?

We will first find the prime factorization of 26545 and 26565. After we will calculate the factors of 26545 and 26565 and find the biggest common factor number .

Step-1: Prime Factorization of 26545

Prime factors of 26545 are 5, 5309. Prime factorization of 26545 in exponential form is:

26545 = 5¹ × 5309¹

Step-2: 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-3: Factors of 26545

List of positive integer factors of 26545 that divides 26545 without a remainder.

1, 5, 5309

Step-4: Factors of 26565

List of positive integer factors of 26565 that divides 26545 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26545 and 26565. The biggest common factor number is the GCF number.
So the greatest common factor 26545 and 26565 is 5.

Also check out the Least Common Multiple of 26545 and 26565