What is the Greatest Common Factor of 24735 and 24750?

Greatest common factor (GCF) of 24735 and 24750 is 15.

GCF(24735,24750) = 15

We will now calculate the prime factors of 24735 and 24750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24735 and 24750.

How to find the GCF of 24735 and 24750?

We will first find the prime factorization of 24735 and 24750. After we will calculate the factors of 24735 and 24750 and find the biggest common factor number .

Step-1: Prime Factorization of 24735

Prime factors of 24735 are 3, 5, 17, 97. Prime factorization of 24735 in exponential form is:

24735 = 3¹ × 5¹ × 17¹ × 97¹

Step-2: Prime Factorization of 24750

Prime factors of 24750 are 2, 3, 5, 11. Prime factorization of 24750 in exponential form is:

24750 = 2¹ × 3² × 5³ × 11¹

Step-3: Factors of 24735

List of positive integer factors of 24735 that divides 24735 without a remainder.

1, 3, 5, 15, 17, 51, 85, 97, 255, 291, 485, 1455, 1649, 4947, 8245

Step-4: Factors of 24750

List of positive integer factors of 24750 that divides 24735 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 25, 30, 33, 45, 50, 55, 66, 75, 90, 99, 110, 125, 150, 165, 198, 225, 250, 275, 330, 375, 450, 495, 550, 750, 825, 990, 1125, 1375, 1650, 2250, 2475, 2750, 4125, 4950, 8250, 12375

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24735 and 24750. The biggest common factor number is the GCF number.
So the greatest common factor 24735 and 24750 is 15.

Also check out the Least Common Multiple of 24735 and 24750