What is the Greatest Common Factor of 24750 and 24769?

Greatest common factor (GCF) of 24750 and 24769 is 1.

GCF(24750,24769) = 1

We will now calculate the prime factors of 24750 and 24769, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24750 and 24769.

How to find the GCF of 24750 and 24769?

We will first find the prime factorization of 24750 and 24769. After we will calculate the factors of 24750 and 24769 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24769

Prime factors of 24769 are 17, 31, 47. Prime factorization of 24769 in exponential form is:

24769 = 17¹ × 31¹ × 47¹

Step-3: Factors of 24750

List of positive integer factors of 24750 that divides 24750 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

Step-4: Factors of 24769

List of positive integer factors of 24769 that divides 24750 without a remainder.

1, 17, 31, 47, 527, 799, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24750 and 24769. The biggest common factor number is the GCF number.
So the greatest common factor 24750 and 24769 is 1.

Also check out the Least Common Multiple of 24750 and 24769