What is the Greatest Common Factor of 14416 and 14433?

Greatest common factor (GCF) of 14416 and 14433 is 17.

GCF(14416,14433) = 17

We will now calculate the prime factors of 14416 and 14433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14416 and 14433.

How to find the GCF of 14416 and 14433?

We will first find the prime factorization of 14416 and 14433. After we will calculate the factors of 14416 and 14433 and find the biggest common factor number .

Step-1: Prime Factorization of 14416

Prime factors of 14416 are 2, 17, 53. Prime factorization of 14416 in exponential form is:

14416 = 2⁴ × 17¹ × 53¹

Step-2: Prime Factorization of 14433

Prime factors of 14433 are 3, 17, 283. Prime factorization of 14433 in exponential form is:

14433 = 3¹ × 17¹ × 283¹

Step-3: Factors of 14416

List of positive integer factors of 14416 that divides 14416 without a remainder.

1, 2, 4, 8, 16, 17, 34, 53, 68, 106, 136, 212, 272, 424, 848, 901, 1802, 3604, 7208

Step-4: Factors of 14433

List of positive integer factors of 14433 that divides 14416 without a remainder.

1, 3, 17, 51, 283, 849, 4811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14416 and 14433. The biggest common factor number is the GCF number.
So the greatest common factor 14416 and 14433 is 17.

Also check out the Least Common Multiple of 14416 and 14433