What is the Greatest Common Factor of 24361 and 24378?

Greatest common factor (GCF) of 24361 and 24378 is 17.

GCF(24361,24378) = 17

We will now calculate the prime factors of 24361 and 24378, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24361 and 24378.

How to find the GCF of 24361 and 24378?

We will first find the prime factorization of 24361 and 24378. After we will calculate the factors of 24361 and 24378 and find the biggest common factor number .

Step-1: Prime Factorization of 24361

Prime factors of 24361 are 17, 1433. Prime factorization of 24361 in exponential form is:

24361 = 17¹ × 1433¹

Step-2: Prime Factorization of 24378

Prime factors of 24378 are 2, 3, 17, 239. Prime factorization of 24378 in exponential form is:

24378 = 2¹ × 3¹ × 17¹ × 239¹

Step-3: Factors of 24361

List of positive integer factors of 24361 that divides 24361 without a remainder.

1, 17, 1433

Step-4: Factors of 24378

List of positive integer factors of 24378 that divides 24361 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 239, 478, 717, 1434, 4063, 8126, 12189

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24361 and 24378. The biggest common factor number is the GCF number.
So the greatest common factor 24361 and 24378 is 17.

Also check out the Least Common Multiple of 24361 and 24378