What is the Greatest Common Factor of 14355 and 14373?

Greatest common factor (GCF) of 14355 and 14373 is 9.

GCF(14355,14373) = 9

We will now calculate the prime factors of 14355 and 14373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14355 and 14373.

How to find the GCF of 14355 and 14373?

We will first find the prime factorization of 14355 and 14373. After we will calculate the factors of 14355 and 14373 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 14373

Prime factors of 14373 are 3, 1597. Prime factorization of 14373 in exponential form is:

14373 = 3² × 1597¹

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 14373

List of positive integer factors of 14373 that divides 14355 without a remainder.

1, 3, 9, 1597, 4791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14355 and 14373. The biggest common factor number is the GCF number.
So the greatest common factor 14355 and 14373 is 9.

Also check out the Least Common Multiple of 14355 and 14373