What is the Greatest Common Factor of 24273 and 24288?

Greatest common factor (GCF) of 24273 and 24288 is 3.

GCF(24273,24288) = 3

We will now calculate the prime factors of 24273 and 24288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24273 and 24288.

How to find the GCF of 24273 and 24288?

We will first find the prime factorization of 24273 and 24288. After we will calculate the factors of 24273 and 24288 and find the biggest common factor number .

Step-1: Prime Factorization of 24273

Prime factors of 24273 are 3, 29, 31. Prime factorization of 24273 in exponential form is:

24273 = 3³ × 29¹ × 31¹

Step-2: 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-3: Factors of 24273

List of positive integer factors of 24273 that divides 24273 without a remainder.

1, 3, 9, 27, 29, 31, 87, 93, 261, 279, 783, 837, 899, 2697, 8091

Step-4: Factors of 24288

List of positive integer factors of 24288 that divides 24273 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24273 and 24288. The biggest common factor number is the GCF number.
So the greatest common factor 24273 and 24288 is 3.

Also check out the Least Common Multiple of 24273 and 24288