What is the Greatest Common Factor of 22464 and 22480?

Greatest common factor (GCF) of 22464 and 22480 is 16.

GCF(22464,22480) = 16

We will now calculate the prime factors of 22464 and 22480, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 22464 and 22480.

How to find the GCF of 22464 and 22480?

We will first find the prime factorization of 22464 and 22480. After we will calculate the factors of 22464 and 22480 and find the biggest common factor number .

Step-1: Prime Factorization of 22464

Prime factors of 22464 are 2, 3, 13. Prime factorization of 22464 in exponential form is:

22464 = 2⁶ × 3³ × 13¹

Step-2: Prime Factorization of 22480

Prime factors of 22480 are 2, 5, 281. Prime factorization of 22480 in exponential form is:

22480 = 2⁴ × 5¹ × 281¹

Step-3: Factors of 22464

List of positive integer factors of 22464 that divides 22464 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 96, 104, 108, 117, 144, 156, 192, 208, 216, 234, 288, 312, 351, 416, 432, 468, 576, 624, 702, 832, 864, 936, 1248, 1404, 1728, 1872, 2496, 2808, 3744, 5616, 7488, 11232

Step-4: Factors of 22480

List of positive integer factors of 22480 that divides 22464 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 281, 562, 1124, 1405, 2248, 2810, 4496, 5620, 11240

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 22464 and 22480. The biggest common factor number is the GCF number.
So the greatest common factor 22464 and 22480 is 16.

Also check out the Least Common Multiple of 22464 and 22480