What is the Greatest Common Factor of 14349 and 14355?

Greatest common factor (GCF) of 14349 and 14355 is 3.

GCF(14349,14355) = 3

We will now calculate the prime factors of 14349 and 14355, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14349 and 14355.

How to find the GCF of 14349 and 14355?

We will first find the prime factorization of 14349 and 14355. After we will calculate the factors of 14349 and 14355 and find the biggest common factor number .

Step-1: Prime Factorization of 14349

Prime factors of 14349 are 3, 4783. Prime factorization of 14349 in exponential form is:

14349 = 3¹ × 4783¹

Step-2: 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-3: Factors of 14349

List of positive integer factors of 14349 that divides 14349 without a remainder.

1, 3, 4783

Step-4: Factors of 14355

List of positive integer factors of 14355 that divides 14349 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14349 and 14355. The biggest common factor number is the GCF number.
So the greatest common factor 14349 and 14355 is 3.

Also check out the Least Common Multiple of 14349 and 14355