What is the Greatest Common Factor of 24870 and 24884?

Greatest common factor (GCF) of 24870 and 24884 is 2.

GCF(24870,24884) = 2

We will now calculate the prime factors of 24870 and 24884, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24870 and 24884.

How to find the GCF of 24870 and 24884?

We will first find the prime factorization of 24870 and 24884. After we will calculate the factors of 24870 and 24884 and find the biggest common factor number .

Step-1: Prime Factorization of 24870

Prime factors of 24870 are 2, 3, 5, 829. Prime factorization of 24870 in exponential form is:

24870 = 2¹ × 3¹ × 5¹ × 829¹

Step-2: Prime Factorization of 24884

Prime factors of 24884 are 2, 6221. Prime factorization of 24884 in exponential form is:

24884 = 2² × 6221¹

Step-3: Factors of 24870

List of positive integer factors of 24870 that divides 24870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 829, 1658, 2487, 4145, 4974, 8290, 12435

Step-4: Factors of 24884

List of positive integer factors of 24884 that divides 24870 without a remainder.

1, 2, 4, 6221, 12442

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24870 and 24884. The biggest common factor number is the GCF number.
So the greatest common factor 24870 and 24884 is 2.

Also check out the Least Common Multiple of 24870 and 24884