What is the Greatest Common Factor of 11506 and 11517?

Greatest common factor (GCF) of 11506 and 11517 is 11.

GCF(11506,11517) = 11

We will now calculate the prime factors of 11506 and 11517, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11506 and 11517.

How to find the GCF of 11506 and 11517?

We will first find the prime factorization of 11506 and 11517. After we will calculate the factors of 11506 and 11517 and find the biggest common factor number .

Step-1: Prime Factorization of 11506

Prime factors of 11506 are 2, 11, 523. Prime factorization of 11506 in exponential form is:

11506 = 2¹ × 11¹ × 523¹

Step-2: Prime Factorization of 11517

Prime factors of 11517 are 3, 11, 349. Prime factorization of 11517 in exponential form is:

11517 = 3¹ × 11¹ × 349¹

Step-3: Factors of 11506

List of positive integer factors of 11506 that divides 11506 without a remainder.

1, 2, 11, 22, 523, 1046, 5753

Step-4: Factors of 11517

List of positive integer factors of 11517 that divides 11506 without a remainder.

1, 3, 11, 33, 349, 1047, 3839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11506 and 11517. The biggest common factor number is the GCF number.
So the greatest common factor 11506 and 11517 is 11.

Also check out the Least Common Multiple of 11506 and 11517