What is the Greatest Common Factor of 11492 and 11509?

Greatest common factor (GCF) of 11492 and 11509 is 17.

GCF(11492,11509) = 17

We will now calculate the prime factors of 11492 and 11509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11492 and 11509.

How to find the GCF of 11492 and 11509?

We will first find the prime factorization of 11492 and 11509. After we will calculate the factors of 11492 and 11509 and find the biggest common factor number .

Step-1: Prime Factorization of 11492

Prime factors of 11492 are 2, 13, 17. Prime factorization of 11492 in exponential form is:

11492 = 2² × 13² × 17¹

Step-2: Prime Factorization of 11509

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

11509 = 17¹ × 677¹

Step-3: Factors of 11492

List of positive integer factors of 11492 that divides 11492 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 68, 169, 221, 338, 442, 676, 884, 2873, 5746

Step-4: Factors of 11509

List of positive integer factors of 11509 that divides 11492 without a remainder.

1, 17, 677

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11492 and 11509. The biggest common factor number is the GCF number.
So the greatest common factor 11492 and 11509 is 17.

Also check out the Least Common Multiple of 11492 and 11509