What is the Greatest Common Factor of 11349 and 11361?

Greatest common factor (GCF) of 11349 and 11361 is 3.

GCF(11349,11361) = 3

We will now calculate the prime factors of 11349 and 11361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11349 and 11361.

How to find the GCF of 11349 and 11361?

We will first find the prime factorization of 11349 and 11361. After we will calculate the factors of 11349 and 11361 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 11361

Prime factors of 11361 are 3, 7, 541. Prime factorization of 11361 in exponential form is:

11361 = 3¹ × 7¹ × 541¹

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 11361

List of positive integer factors of 11361 that divides 11349 without a remainder.

1, 3, 7, 21, 541, 1623, 3787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11349 and 11361. The biggest common factor number is the GCF number.
So the greatest common factor 11349 and 11361 is 3.

Also check out the Least Common Multiple of 11349 and 11361