What is the Greatest Common Factor of 24739 and 24750?

Greatest common factor (GCF) of 24739 and 24750 is 11.

GCF(24739,24750) = 11

We will now calculate the prime factors of 24739 and 24750, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24739 and 24750.

How to find the GCF of 24739 and 24750?

We will first find the prime factorization of 24739 and 24750. After we will calculate the factors of 24739 and 24750 and find the biggest common factor number .

Step-1: Prime Factorization of 24739

Prime factors of 24739 are 11, 13, 173. Prime factorization of 24739 in exponential form is:

24739 = 11¹ × 13¹ × 173¹

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 24739

List of positive integer factors of 24739 that divides 24739 without a remainder.

1, 11, 13, 143, 173, 1903, 2249

Step-4: Factors of 24750

List of positive integer factors of 24750 that divides 24739 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 24739 and 24750. The biggest common factor number is the GCF number.
So the greatest common factor 24739 and 24750 is 11.

Also check out the Least Common Multiple of 24739 and 24750