What is the Greatest Common Factor of 14416 and 14424?

Greatest common factor (GCF) of 14416 and 14424 is 8.

GCF(14416,14424) = 8

We will now calculate the prime factors of 14416 and 14424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14416 and 14424.

How to find the GCF of 14416 and 14424?

We will first find the prime factorization of 14416 and 14424. After we will calculate the factors of 14416 and 14424 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 14424

Prime factors of 14424 are 2, 3, 601. Prime factorization of 14424 in exponential form is:

14424 = 2³ × 3¹ × 601¹

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 14424

List of positive integer factors of 14424 that divides 14416 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 601, 1202, 1803, 2404, 3606, 4808, 7212

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14416 and 14424. The biggest common factor number is the GCF number.
So the greatest common factor 14416 and 14424 is 8.

Also check out the Least Common Multiple of 14416 and 14424