What is the Greatest Common Factor of 24288 and 24304?

Greatest common factor (GCF) of 24288 and 24304 is 16.

GCF(24288,24304) = 16

We will now calculate the prime factors of 24288 and 24304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24288 and 24304.

How to find the GCF of 24288 and 24304?

We will first find the prime factorization of 24288 and 24304. After we will calculate the factors of 24288 and 24304 and find the biggest common factor number .

Step-1: Prime Factorization of 24288

Prime factors of 24288 are 2, 3, 11, 23. Prime factorization of 24288 in exponential form is:

24288 = 2⁵ × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 24304

Prime factors of 24304 are 2, 7, 31. Prime factorization of 24304 in exponential form is:

24304 = 2⁴ × 7² × 31¹

Step-3: Factors of 24288

List of positive integer factors of 24288 that divides 24288 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 23, 24, 32, 33, 44, 46, 48, 66, 69, 88, 92, 96, 132, 138, 176, 184, 253, 264, 276, 352, 368, 506, 528, 552, 736, 759, 1012, 1056, 1104, 1518, 2024, 2208, 3036, 4048, 6072, 8096, 12144

Step-4: Factors of 24304

List of positive integer factors of 24304 that divides 24288 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 31, 49, 56, 62, 98, 112, 124, 196, 217, 248, 392, 434, 496, 784, 868, 1519, 1736, 3038, 3472, 6076, 12152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24288 and 24304. The biggest common factor number is the GCF number.
So the greatest common factor 24288 and 24304 is 16.

Also check out the Least Common Multiple of 24288 and 24304