What is the Greatest Common Factor of 11349 and 11362?

Greatest common factor (GCF) of 11349 and 11362 is 13.

GCF(11349,11362) = 13

We will now calculate the prime factors of 11349 and 11362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11349 and 11362.

How to find the GCF of 11349 and 11362?

We will first find the prime factorization of 11349 and 11362. After we will calculate the factors of 11349 and 11362 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 11362

Prime factors of 11362 are 2, 13, 19, 23. Prime factorization of 11362 in exponential form is:

11362 = 2¹ × 13¹ × 19¹ × 23¹

Step-3: Factors of 11349

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

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

Step-4: Factors of 11362

List of positive integer factors of 11362 that divides 11349 without a remainder.

1, 2, 13, 19, 23, 26, 38, 46, 247, 299, 437, 494, 598, 874, 5681

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11349 and 11362. The biggest common factor number is the GCF number.
So the greatest common factor 11349 and 11362 is 13.

Also check out the Least Common Multiple of 11349 and 11362