What is the Greatest Common Factor of 24045 and 24060?

Greatest common factor (GCF) of 24045 and 24060 is 15.

GCF(24045,24060) = 15

We will now calculate the prime factors of 24045 and 24060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24045 and 24060.

How to find the GCF of 24045 and 24060?

We will first find the prime factorization of 24045 and 24060. After we will calculate the factors of 24045 and 24060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24060

Prime factors of 24060 are 2, 3, 5, 401. Prime factorization of 24060 in exponential form is:

24060 = 2² × 3¹ × 5¹ × 401¹

Step-3: Factors of 24045

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

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

Step-4: Factors of 24060

List of positive integer factors of 24060 that divides 24045 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 401, 802, 1203, 1604, 2005, 2406, 4010, 4812, 6015, 8020, 12030

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24045 and 24060. The biggest common factor number is the GCF number.
So the greatest common factor 24045 and 24060 is 15.

Also check out the Least Common Multiple of 24045 and 24060