What is the Greatest Common Factor of 24849 and 24864?

Greatest common factor (GCF) of 24849 and 24864 is 3.

GCF(24849,24864) = 3

We will now calculate the prime factors of 24849 and 24864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24849 and 24864.

How to find the GCF of 24849 and 24864?

We will first find the prime factorization of 24849 and 24864. After we will calculate the factors of 24849 and 24864 and find the biggest common factor number .

Step-1: Prime Factorization of 24849

Prime factors of 24849 are 3, 11, 251. Prime factorization of 24849 in exponential form is:

24849 = 3² × 11¹ × 251¹

Step-2: Prime Factorization of 24864

Prime factors of 24864 are 2, 3, 7, 37. Prime factorization of 24864 in exponential form is:

24864 = 2⁵ × 3¹ × 7¹ × 37¹

Step-3: Factors of 24849

List of positive integer factors of 24849 that divides 24849 without a remainder.

1, 3, 9, 11, 33, 99, 251, 753, 2259, 2761, 8283

Step-4: Factors of 24864

List of positive integer factors of 24864 that divides 24849 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 37, 42, 48, 56, 74, 84, 96, 111, 112, 148, 168, 222, 224, 259, 296, 336, 444, 518, 592, 672, 777, 888, 1036, 1184, 1554, 1776, 2072, 3108, 3552, 4144, 6216, 8288, 12432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24849 and 24864. The biggest common factor number is the GCF number.
So the greatest common factor 24849 and 24864 is 3.

Also check out the Least Common Multiple of 24849 and 24864