What is the Greatest Common Factor of 26549 and 26565?

Greatest common factor (GCF) of 26549 and 26565 is 1.

GCF(26549,26565) = 1

We will now calculate the prime factors of 26549 and 26565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26549 and 26565.

How to find the GCF of 26549 and 26565?

We will first find the prime factorization of 26549 and 26565. After we will calculate the factors of 26549 and 26565 and find the biggest common factor number .

Step-1: Prime Factorization of 26549

Prime factors of 26549 are 139, 191. Prime factorization of 26549 in exponential form is:

26549 = 139¹ × 191¹

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 26549

List of positive integer factors of 26549 that divides 26549 without a remainder.

1, 139, 191

Step-4: Factors of 26565

List of positive integer factors of 26565 that divides 26549 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 26549 and 26565. The biggest common factor number is the GCF number.
So the greatest common factor 26549 and 26565 is 1.

Also check out the Least Common Multiple of 26549 and 26565