What is the Greatest Common Factor of 24234 and 24240?

Greatest common factor (GCF) of 24234 and 24240 is 6.

GCF(24234,24240) = 6

We will now calculate the prime factors of 24234 and 24240, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24234 and 24240.

How to find the GCF of 24234 and 24240?

We will first find the prime factorization of 24234 and 24240. After we will calculate the factors of 24234 and 24240 and find the biggest common factor number .

Step-1: Prime Factorization of 24234

Prime factors of 24234 are 2, 3, 7, 577. Prime factorization of 24234 in exponential form is:

24234 = 2¹ × 3¹ × 7¹ × 577¹

Step-2: Prime Factorization of 24240

Prime factors of 24240 are 2, 3, 5, 101. Prime factorization of 24240 in exponential form is:

24240 = 2⁴ × 3¹ × 5¹ × 101¹

Step-3: Factors of 24234

List of positive integer factors of 24234 that divides 24234 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 577, 1154, 1731, 3462, 4039, 8078, 12117

Step-4: Factors of 24240

List of positive integer factors of 24240 that divides 24234 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 101, 120, 202, 240, 303, 404, 505, 606, 808, 1010, 1212, 1515, 1616, 2020, 2424, 3030, 4040, 4848, 6060, 8080, 12120

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24234 and 24240. The biggest common factor number is the GCF number.
So the greatest common factor 24234 and 24240 is 6.

Also check out the Least Common Multiple of 24234 and 24240