What is the Greatest Common Factor of 24388 and 24406?

Greatest common factor (GCF) of 24388 and 24406 is 2.

GCF(24388,24406) = 2

We will now calculate the prime factors of 24388 and 24406, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24388 and 24406.

How to find the GCF of 24388 and 24406?

We will first find the prime factorization of 24388 and 24406. After we will calculate the factors of 24388 and 24406 and find the biggest common factor number .

Step-1: Prime Factorization of 24388

Prime factors of 24388 are 2, 7, 13, 67. Prime factorization of 24388 in exponential form is:

24388 = 2² × 7¹ × 13¹ × 67¹

Step-2: Prime Factorization of 24406

Prime factors of 24406 are 2, 12203. Prime factorization of 24406 in exponential form is:

24406 = 2¹ × 12203¹

Step-3: Factors of 24388

List of positive integer factors of 24388 that divides 24388 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 67, 91, 134, 182, 268, 364, 469, 871, 938, 1742, 1876, 3484, 6097, 12194

Step-4: Factors of 24406

List of positive integer factors of 24406 that divides 24388 without a remainder.

1, 2, 12203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24388 and 24406. The biggest common factor number is the GCF number.
So the greatest common factor 24388 and 24406 is 2.

Also check out the Least Common Multiple of 24388 and 24406