What is the Greatest Common Factor of 24340 and 24345?

Greatest common factor (GCF) of 24340 and 24345 is 5.

GCF(24340,24345) = 5

We will now calculate the prime factors of 24340 and 24345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24340 and 24345.

How to find the GCF of 24340 and 24345?

We will first find the prime factorization of 24340 and 24345. After we will calculate the factors of 24340 and 24345 and find the biggest common factor number .

Step-1: Prime Factorization of 24340

Prime factors of 24340 are 2, 5, 1217. Prime factorization of 24340 in exponential form is:

24340 = 2² × 5¹ × 1217¹

Step-2: Prime Factorization of 24345

Prime factors of 24345 are 3, 5, 541. Prime factorization of 24345 in exponential form is:

24345 = 3² × 5¹ × 541¹

Step-3: Factors of 24340

List of positive integer factors of 24340 that divides 24340 without a remainder.

1, 2, 4, 5, 10, 20, 1217, 2434, 4868, 6085, 12170

Step-4: Factors of 24345

List of positive integer factors of 24345 that divides 24340 without a remainder.

1, 3, 5, 9, 15, 45, 541, 1623, 2705, 4869, 8115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24340 and 24345. The biggest common factor number is the GCF number.
So the greatest common factor 24340 and 24345 is 5.

Also check out the Least Common Multiple of 24340 and 24345