What is the Greatest Common Factor of 24288 and 24292?

Greatest common factor (GCF) of 24288 and 24292 is 4.

GCF(24288,24292) = 4

We will now calculate the prime factors of 24288 and 24292, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24288 and 24292.

How to find the GCF of 24288 and 24292?

We will first find the prime factorization of 24288 and 24292. After we will calculate the factors of 24288 and 24292 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 24292

Prime factors of 24292 are 2, 6073. Prime factorization of 24292 in exponential form is:

24292 = 2² × 6073¹

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 24292

List of positive integer factors of 24292 that divides 24288 without a remainder.

1, 2, 4, 6073, 12146

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24288 and 24292. The biggest common factor number is the GCF number.
So the greatest common factor 24288 and 24292 is 4.

Also check out the Least Common Multiple of 24288 and 24292