What is the Greatest Common Factor of 11509 and 11526?

Greatest common factor (GCF) of 11509 and 11526 is 17.

GCF(11509,11526) = 17

We will now calculate the prime factors of 11509 and 11526, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11509 and 11526.

How to find the GCF of 11509 and 11526?

We will first find the prime factorization of 11509 and 11526. After we will calculate the factors of 11509 and 11526 and find the biggest common factor number .

Step-1: Prime Factorization of 11509

Prime factors of 11509 are 17, 677. Prime factorization of 11509 in exponential form is:

11509 = 17¹ × 677¹

Step-2: Prime Factorization of 11526

Prime factors of 11526 are 2, 3, 17, 113. Prime factorization of 11526 in exponential form is:

11526 = 2¹ × 3¹ × 17¹ × 113¹

Step-3: Factors of 11509

List of positive integer factors of 11509 that divides 11509 without a remainder.

1, 17, 677

Step-4: Factors of 11526

List of positive integer factors of 11526 that divides 11509 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 113, 226, 339, 678, 1921, 3842, 5763

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11509 and 11526. The biggest common factor number is the GCF number.
So the greatest common factor 11509 and 11526 is 17.

Also check out the Least Common Multiple of 11509 and 11526