What is the Greatest Common Factor of 24380 and 24388?

Greatest common factor (GCF) of 24380 and 24388 is 4.

GCF(24380,24388) = 4

We will now calculate the prime factors of 24380 and 24388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24380 and 24388.

How to find the GCF of 24380 and 24388?

We will first find the prime factorization of 24380 and 24388. After we will calculate the factors of 24380 and 24388 and find the biggest common factor number .

Step-1: Prime Factorization of 24380

Prime factors of 24380 are 2, 5, 23, 53. Prime factorization of 24380 in exponential form is:

24380 = 2² × 5¹ × 23¹ × 53¹

Step-2: 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-3: Factors of 24380

List of positive integer factors of 24380 that divides 24380 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 53, 92, 106, 115, 212, 230, 265, 460, 530, 1060, 1219, 2438, 4876, 6095, 12190

Step-4: Factors of 24388

List of positive integer factors of 24388 that divides 24380 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24380 and 24388. The biggest common factor number is the GCF number.
So the greatest common factor 24380 and 24388 is 4.

Also check out the Least Common Multiple of 24380 and 24388