What is the Greatest Common Factor of 24369 and 24380?

Greatest common factor (GCF) of 24369 and 24380 is 1.

GCF(24369,24380) = 1

We will now calculate the prime factors of 24369 and 24380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24369 and 24380.

How to find the GCF of 24369 and 24380?

We will first find the prime factorization of 24369 and 24380. After we will calculate the factors of 24369 and 24380 and find the biggest common factor number .

Step-1: Prime Factorization of 24369

Prime factors of 24369 are 3, 8123. Prime factorization of 24369 in exponential form is:

24369 = 3¹ × 8123¹

Step-2: 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-3: Factors of 24369

List of positive integer factors of 24369 that divides 24369 without a remainder.

1, 3, 8123

Step-4: Factors of 24380

List of positive integer factors of 24380 that divides 24369 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24369 and 24380. The biggest common factor number is the GCF number.
So the greatest common factor 24369 and 24380 is 1.

Also check out the Least Common Multiple of 24369 and 24380