What is the Greatest Common Factor of 11397 and 11406?

Greatest common factor (GCF) of 11397 and 11406 is 3.

GCF(11397,11406) = 3

We will now calculate the prime factors of 11397 and 11406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 11397 and 11406.

How to find the GCF of 11397 and 11406?

We will first find the prime factorization of 11397 and 11406. After we will calculate the factors of 11397 and 11406 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 11406

Prime factors of 11406 are 2, 3, 1901. Prime factorization of 11406 in exponential form is:

11406 = 2¹ × 3¹ × 1901¹

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 11406

List of positive integer factors of 11406 that divides 11397 without a remainder.

1, 2, 3, 6, 1901, 3802, 5703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 11397 and 11406. The biggest common factor number is the GCF number.
So the greatest common factor 11397 and 11406 is 3.

Also check out the Least Common Multiple of 11397 and 11406