What is the Greatest Common Factor of 11336 and 11349?

Greatest common factor (GCF) of 11336 and 11349 is 13.

GCF(11336,11349) = 13

We will now calculate the prime factors of 11336 and 11349, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11336 and 11349.

How to find the GCF of 11336 and 11349?

We will first find the prime factorization of 11336 and 11349. After we will calculate the factors of 11336 and 11349 and find the biggest common factor number .

Step-1: Prime Factorization of 11336

Prime factors of 11336 are 2, 13, 109. Prime factorization of 11336 in exponential form is:

11336 = 2³ × 13¹ × 109¹

Step-2: Prime Factorization of 11349

Prime factors of 11349 are 3, 13, 97. Prime factorization of 11349 in exponential form is:

11349 = 3² × 13¹ × 97¹

Step-3: Factors of 11336

List of positive integer factors of 11336 that divides 11336 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 109, 218, 436, 872, 1417, 2834, 5668

Step-4: Factors of 11349

List of positive integer factors of 11349 that divides 11336 without a remainder.

1, 3, 9, 13, 39, 97, 117, 291, 873, 1261, 3783

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11336 and 11349. The biggest common factor number is the GCF number.
So the greatest common factor 11336 and 11349 is 13.

Also check out the Least Common Multiple of 11336 and 11349