What is the Greatest Common Factor of 24780 and 24794?

Greatest common factor (GCF) of 24780 and 24794 is 14.

GCF(24780,24794) = 14

We will now calculate the prime factors of 24780 and 24794, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24780 and 24794.

How to find the GCF of 24780 and 24794?

We will first find the prime factorization of 24780 and 24794. After we will calculate the factors of 24780 and 24794 and find the biggest common factor number .

Step-1: Prime Factorization of 24780

Prime factors of 24780 are 2, 3, 5, 7, 59. Prime factorization of 24780 in exponential form is:

24780 = 2² × 3¹ × 5¹ × 7¹ × 59¹

Step-2: Prime Factorization of 24794

Prime factors of 24794 are 2, 7, 11, 23. Prime factorization of 24794 in exponential form is:

24794 = 2¹ × 7² × 11¹ × 23¹

Step-3: Factors of 24780

List of positive integer factors of 24780 that divides 24780 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 59, 60, 70, 84, 105, 118, 140, 177, 210, 236, 295, 354, 413, 420, 590, 708, 826, 885, 1180, 1239, 1652, 1770, 2065, 2478, 3540, 4130, 4956, 6195, 8260, 12390

Step-4: Factors of 24794

List of positive integer factors of 24794 that divides 24780 without a remainder.

1, 2, 7, 11, 14, 22, 23, 46, 49, 77, 98, 154, 161, 253, 322, 506, 539, 1078, 1127, 1771, 2254, 3542, 12397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24780 and 24794. The biggest common factor number is the GCF number.
So the greatest common factor 24780 and 24794 is 14.

Also check out the Least Common Multiple of 24780 and 24794