What is the Greatest Common Factor of 24388 and 24395?

Greatest common factor (GCF) of 24388 and 24395 is 7.

GCF(24388,24395) = 7

We will now calculate the prime factors of 24388 and 24395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24388 and 24395.

How to find the GCF of 24388 and 24395?

We will first find the prime factorization of 24388 and 24395. After we will calculate the factors of 24388 and 24395 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 24395

Prime factors of 24395 are 5, 7, 17, 41. Prime factorization of 24395 in exponential form is:

24395 = 5¹ × 7¹ × 17¹ × 41¹

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 24395

List of positive integer factors of 24395 that divides 24388 without a remainder.

1, 5, 7, 17, 35, 41, 85, 119, 205, 287, 595, 697, 1435, 3485, 4879

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24388 and 24395. The biggest common factor number is the GCF number.
So the greatest common factor 24388 and 24395 is 7.

Also check out the Least Common Multiple of 24388 and 24395