What is the Greatest Common Factor of 14320 and 14335?

Greatest common factor (GCF) of 14320 and 14335 is 5.

GCF(14320,14335) = 5

We will now calculate the prime factors of 14320 and 14335, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14320 and 14335.

How to find the GCF of 14320 and 14335?

We will first find the prime factorization of 14320 and 14335. After we will calculate the factors of 14320 and 14335 and find the biggest common factor number .

Step-1: Prime Factorization of 14320

Prime factors of 14320 are 2, 5, 179. Prime factorization of 14320 in exponential form is:

14320 = 2⁴ × 5¹ × 179¹

Step-2: Prime Factorization of 14335

Prime factors of 14335 are 5, 47, 61. Prime factorization of 14335 in exponential form is:

14335 = 5¹ × 47¹ × 61¹

Step-3: Factors of 14320

List of positive integer factors of 14320 that divides 14320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 179, 358, 716, 895, 1432, 1790, 2864, 3580, 7160

Step-4: Factors of 14335

List of positive integer factors of 14335 that divides 14320 without a remainder.

1, 5, 47, 61, 235, 305, 2867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14320 and 14335. The biggest common factor number is the GCF number.
So the greatest common factor 14320 and 14335 is 5.

Also check out the Least Common Multiple of 14320 and 14335