What is the Greatest Common Factor of 24850 and 24864?

Greatest common factor (GCF) of 24850 and 24864 is 14.

GCF(24850,24864) = 14

We will now calculate the prime factors of 24850 and 24864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24850 and 24864.

How to find the GCF of 24850 and 24864?

We will first find the prime factorization of 24850 and 24864. After we will calculate the factors of 24850 and 24864 and find the biggest common factor number .

Step-1: Prime Factorization of 24850

Prime factors of 24850 are 2, 5, 7, 71. Prime factorization of 24850 in exponential form is:

24850 = 2¹ × 5² × 7¹ × 71¹

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 24850

List of positive integer factors of 24850 that divides 24850 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 71, 142, 175, 350, 355, 497, 710, 994, 1775, 2485, 3550, 4970, 12425

Step-4: Factors of 24864

List of positive integer factors of 24864 that divides 24850 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 24850 and 24864. The biggest common factor number is the GCF number.
So the greatest common factor 24850 and 24864 is 14.

Also check out the Least Common Multiple of 24850 and 24864