What is the Greatest Common Factor of 24075 and 24090?

Greatest common factor (GCF) of 24075 and 24090 is 15.

GCF(24075,24090) = 15

We will now calculate the prime factors of 24075 and 24090, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24075 and 24090.

How to find the GCF of 24075 and 24090?

We will first find the prime factorization of 24075 and 24090. After we will calculate the factors of 24075 and 24090 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24090

Prime factors of 24090 are 2, 3, 5, 11, 73. Prime factorization of 24090 in exponential form is:

24090 = 2¹ × 3¹ × 5¹ × 11¹ × 73¹

Step-3: Factors of 24075

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

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

Step-4: Factors of 24090

List of positive integer factors of 24090 that divides 24075 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 73, 110, 146, 165, 219, 330, 365, 438, 730, 803, 1095, 1606, 2190, 2409, 4015, 4818, 8030, 12045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24075 and 24090. The biggest common factor number is the GCF number.
So the greatest common factor 24075 and 24090 is 15.

Also check out the Least Common Multiple of 24075 and 24090