What is the Greatest Common Factor of 24288 and 24299?

Greatest common factor (GCF) of 24288 and 24299 is 11.

GCF(24288,24299) = 11

We will now calculate the prime factors of 24288 and 24299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24288 and 24299.

How to find the GCF of 24288 and 24299?

We will first find the prime factorization of 24288 and 24299. After we will calculate the factors of 24288 and 24299 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 24299

Prime factors of 24299 are 11, 47. Prime factorization of 24299 in exponential form is:

24299 = 11¹ × 47²

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 24299

List of positive integer factors of 24299 that divides 24288 without a remainder.

1, 11, 47, 517, 2209

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24288 and 24299. The biggest common factor number is the GCF number.
So the greatest common factor 24288 and 24299 is 11.

Also check out the Least Common Multiple of 24288 and 24299