What is the Greatest Common Factor of 14355 and 14366?

Greatest common factor (GCF) of 14355 and 14366 is 11.

GCF(14355,14366) = 11

We will now calculate the prime factors of 14355 and 14366, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14355 and 14366.

How to find the GCF of 14355 and 14366?

We will first find the prime factorization of 14355 and 14366. After we will calculate the factors of 14355 and 14366 and find the biggest common factor number .

Step-1: Prime Factorization of 14355

Prime factors of 14355 are 3, 5, 11, 29. Prime factorization of 14355 in exponential form is:

14355 = 3² × 5¹ × 11¹ × 29¹

Step-2: Prime Factorization of 14366

Prime factors of 14366 are 2, 11, 653. Prime factorization of 14366 in exponential form is:

14366 = 2¹ × 11¹ × 653¹

Step-3: Factors of 14355

List of positive integer factors of 14355 that divides 14355 without a remainder.

1, 3, 5, 9, 11, 15, 29, 33, 45, 55, 87, 99, 145, 165, 261, 319, 435, 495, 957, 1305, 1595, 2871, 4785

Step-4: Factors of 14366

List of positive integer factors of 14366 that divides 14355 without a remainder.

1, 2, 11, 22, 653, 1306, 7183

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14355 and 14366. The biggest common factor number is the GCF number.
So the greatest common factor 14355 and 14366 is 11.

Also check out the Least Common Multiple of 14355 and 14366