What is the Greatest Common Factor of 14475 and 14480?

Greatest common factor (GCF) of 14475 and 14480 is 5.

GCF(14475,14480) = 5

We will now calculate the prime factors of 14475 and 14480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14475 and 14480.

How to find the GCF of 14475 and 14480?

We will first find the prime factorization of 14475 and 14480. After we will calculate the factors of 14475 and 14480 and find the biggest common factor number .

Step-1: Prime Factorization of 14475

Prime factors of 14475 are 3, 5, 193. Prime factorization of 14475 in exponential form is:

14475 = 3¹ × 5² × 193¹

Step-2: Prime Factorization of 14480

Prime factors of 14480 are 2, 5, 181. Prime factorization of 14480 in exponential form is:

14480 = 2⁴ × 5¹ × 181¹

Step-3: Factors of 14475

List of positive integer factors of 14475 that divides 14475 without a remainder.

1, 3, 5, 15, 25, 75, 193, 579, 965, 2895, 4825

Step-4: Factors of 14480

List of positive integer factors of 14480 that divides 14475 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 7240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14475 and 14480. The biggest common factor number is the GCF number.
So the greatest common factor 14475 and 14480 is 5.

Also check out the Least Common Multiple of 14475 and 14480