What is the Greatest Common Factor of 11397 and 11415?

Greatest common factor (GCF) of 11397 and 11415 is 3.

GCF(11397,11415) = 3

We will now calculate the prime factors of 11397 and 11415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11397 and 11415.

How to find the GCF of 11397 and 11415?

We will first find the prime factorization of 11397 and 11415. After we will calculate the factors of 11397 and 11415 and find the biggest common factor number .

Step-1: Prime Factorization of 11397

Prime factors of 11397 are 3, 29, 131. Prime factorization of 11397 in exponential form is:

11397 = 3¹ × 29¹ × 131¹

Step-2: Prime Factorization of 11415

Prime factors of 11415 are 3, 5, 761. Prime factorization of 11415 in exponential form is:

11415 = 3¹ × 5¹ × 761¹

Step-3: Factors of 11397

List of positive integer factors of 11397 that divides 11397 without a remainder.

1, 3, 29, 87, 131, 393, 3799

Step-4: Factors of 11415

List of positive integer factors of 11415 that divides 11397 without a remainder.

1, 3, 5, 15, 761, 2283, 3805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11397 and 11415. The biggest common factor number is the GCF number.
So the greatest common factor 11397 and 11415 is 3.

Also check out the Least Common Multiple of 11397 and 11415