What is the Greatest Common Factor of 24848 and 24864?

Greatest common factor (GCF) of 24848 and 24864 is 16.

GCF(24848,24864) = 16

We will now calculate the prime factors of 24848 and 24864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24848 and 24864.

How to find the GCF of 24848 and 24864?

We will first find the prime factorization of 24848 and 24864. After we will calculate the factors of 24848 and 24864 and find the biggest common factor number .

Step-1: Prime Factorization of 24848

Prime factors of 24848 are 2, 1553. Prime factorization of 24848 in exponential form is:

24848 = 2⁴ × 1553¹

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 24848

List of positive integer factors of 24848 that divides 24848 without a remainder.

1, 2, 4, 8, 16, 1553, 3106, 6212, 12424

Step-4: Factors of 24864

List of positive integer factors of 24864 that divides 24848 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 24848 and 24864. The biggest common factor number is the GCF number.
So the greatest common factor 24848 and 24864 is 16.

Also check out the Least Common Multiple of 24848 and 24864