What is the Greatest Common Factor of 24730 and 24750?

Greatest common factor (GCF) of 24730 and 24750 is 10.

GCF(24730,24750) = 10

We will now calculate the prime factors of 24730 and 24750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24730 and 24750.

How to find the GCF of 24730 and 24750?

We will first find the prime factorization of 24730 and 24750. After we will calculate the factors of 24730 and 24750 and find the biggest common factor number .

Step-1: Prime Factorization of 24730

Prime factors of 24730 are 2, 5, 2473. Prime factorization of 24730 in exponential form is:

24730 = 2¹ × 5¹ × 2473¹

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 24730

List of positive integer factors of 24730 that divides 24730 without a remainder.

1, 2, 5, 10, 2473, 4946, 12365

Step-4: Factors of 24750

List of positive integer factors of 24750 that divides 24730 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 24730 and 24750. The biggest common factor number is the GCF number.
So the greatest common factor 24730 and 24750 is 10.

Also check out the Least Common Multiple of 24730 and 24750