What is the Greatest Common Factor of 14480 and 14496?

Greatest common factor (GCF) of 14480 and 14496 is 16.

GCF(14480,14496) = 16

We will now calculate the prime factors of 14480 and 14496, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14480 and 14496.

How to find the GCF of 14480 and 14496?

We will first find the prime factorization of 14480 and 14496. After we will calculate the factors of 14480 and 14496 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14496

Prime factors of 14496 are 2, 3, 151. Prime factorization of 14496 in exponential form is:

14496 = 2⁵ × 3¹ × 151¹

Step-3: Factors of 14480

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

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

Step-4: Factors of 14496

List of positive integer factors of 14496 that divides 14480 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 151, 302, 453, 604, 906, 1208, 1812, 2416, 3624, 4832, 7248

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14480 and 14496. The biggest common factor number is the GCF number.
So the greatest common factor 14480 and 14496 is 16.

Also check out the Least Common Multiple of 14480 and 14496