What is the Greatest Common Factor of 24060 and 24075?

Greatest common factor (GCF) of 24060 and 24075 is 15.

GCF(24060,24075) = 15

We will now calculate the prime factors of 24060 and 24075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24060 and 24075.

How to find the GCF of 24060 and 24075?

We will first find the prime factorization of 24060 and 24075. After we will calculate the factors of 24060 and 24075 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24075

Prime factors of 24075 are 3, 5, 107. Prime factorization of 24075 in exponential form is:

24075 = 3² × 5² × 107¹

Step-3: Factors of 24060

List of positive integer factors of 24060 that divides 24060 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

Step-4: Factors of 24075

List of positive integer factors of 24075 that divides 24060 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 107, 225, 321, 535, 963, 1605, 2675, 4815, 8025

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24060 and 24075. The biggest common factor number is the GCF number.
So the greatest common factor 24060 and 24075 is 15.

Also check out the Least Common Multiple of 24060 and 24075