What is the Greatest Common Factor of 24030 and 24045?

Greatest common factor (GCF) of 24030 and 24045 is 15.

GCF(24030,24045) = 15

We will now calculate the prime factors of 24030 and 24045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24030 and 24045.

How to find the GCF of 24030 and 24045?

We will first find the prime factorization of 24030 and 24045. After we will calculate the factors of 24030 and 24045 and find the biggest common factor number .

Step-1: Prime Factorization of 24030

Prime factors of 24030 are 2, 3, 5, 89. Prime factorization of 24030 in exponential form is:

24030 = 2¹ × 3³ × 5¹ × 89¹

Step-2: Prime Factorization of 24045

Prime factors of 24045 are 3, 5, 7, 229. Prime factorization of 24045 in exponential form is:

24045 = 3¹ × 5¹ × 7¹ × 229¹

Step-3: Factors of 24030

List of positive integer factors of 24030 that divides 24030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 89, 90, 135, 178, 267, 270, 445, 534, 801, 890, 1335, 1602, 2403, 2670, 4005, 4806, 8010, 12015

Step-4: Factors of 24045

List of positive integer factors of 24045 that divides 24030 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 229, 687, 1145, 1603, 3435, 4809, 8015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24030 and 24045. The biggest common factor number is the GCF number.
So the greatest common factor 24030 and 24045 is 15.

Also check out the Least Common Multiple of 24030 and 24045