What is the Greatest Common Factor of 11517 and 11528?

Greatest common factor (GCF) of 11517 and 11528 is 11.

GCF(11517,11528) = 11

We will now calculate the prime factors of 11517 and 11528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11517 and 11528.

How to find the GCF of 11517 and 11528?

We will first find the prime factorization of 11517 and 11528. After we will calculate the factors of 11517 and 11528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11528

Prime factors of 11528 are 2, 11, 131. Prime factorization of 11528 in exponential form is:

11528 = 2³ × 11¹ × 131¹

Step-3: Factors of 11517

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

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

Step-4: Factors of 11528

List of positive integer factors of 11528 that divides 11517 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 131, 262, 524, 1048, 1441, 2882, 5764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11517 and 11528. The biggest common factor number is the GCF number.
So the greatest common factor 11517 and 11528 is 11.

Also check out the Least Common Multiple of 11517 and 11528