What is the Greatest Common Factor of 14496 and 14505?

Greatest common factor (GCF) of 14496 and 14505 is 3.

GCF(14496,14505) = 3

We will now calculate the prime factors of 14496 and 14505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14496 and 14505.

How to find the GCF of 14496 and 14505?

We will first find the prime factorization of 14496 and 14505. After we will calculate the factors of 14496 and 14505 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14505

Prime factors of 14505 are 3, 5, 967. Prime factorization of 14505 in exponential form is:

14505 = 3¹ × 5¹ × 967¹

Step-3: Factors of 14496

List of positive integer factors of 14496 that divides 14496 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

Step-4: Factors of 14505

List of positive integer factors of 14505 that divides 14496 without a remainder.

1, 3, 5, 15, 967, 2901, 4835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14496 and 14505. The biggest common factor number is the GCF number.
So the greatest common factor 14496 and 14505 is 3.

Also check out the Least Common Multiple of 14496 and 14505