What is the Greatest Common Factor of 24344 and 24361?

Greatest common factor (GCF) of 24344 and 24361 is 17.

GCF(24344,24361) = 17

We will now calculate the prime factors of 24344 and 24361, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24344 and 24361.

How to find the GCF of 24344 and 24361?

We will first find the prime factorization of 24344 and 24361. After we will calculate the factors of 24344 and 24361 and find the biggest common factor number .

Step-1: Prime Factorization of 24344

Prime factors of 24344 are 2, 17, 179. Prime factorization of 24344 in exponential form is:

24344 = 2³ × 17¹ × 179¹

Step-2: Prime Factorization of 24361

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

24361 = 17¹ × 1433¹

Step-3: Factors of 24344

List of positive integer factors of 24344 that divides 24344 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 179, 358, 716, 1432, 3043, 6086, 12172

Step-4: Factors of 24361

List of positive integer factors of 24361 that divides 24344 without a remainder.

1, 17, 1433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24344 and 24361. The biggest common factor number is the GCF number.
So the greatest common factor 24344 and 24361 is 17.

Also check out the Least Common Multiple of 24344 and 24361