What is the Greatest Common Factor of 24277 and 24288?

Greatest common factor (GCF) of 24277 and 24288 is 11.

GCF(24277,24288) = 11

We will now calculate the prime factors of 24277 and 24288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24277 and 24288.

How to find the GCF of 24277 and 24288?

We will first find the prime factorization of 24277 and 24288. After we will calculate the factors of 24277 and 24288 and find the biggest common factor number .

Step-1: Prime Factorization of 24277

Prime factors of 24277 are 11, 2207. Prime factorization of 24277 in exponential form is:

24277 = 11¹ × 2207¹

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 24277

List of positive integer factors of 24277 that divides 24277 without a remainder.

1, 11, 2207

Step-4: Factors of 24288

List of positive integer factors of 24288 that divides 24277 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 24277 and 24288. The biggest common factor number is the GCF number.
So the greatest common factor 24277 and 24288 is 11.

Also check out the Least Common Multiple of 24277 and 24288