What is the Greatest Common Factor of 24766 and 24780?

Greatest common factor (GCF) of 24766 and 24780 is 14.

GCF(24766,24780) = 14

We will now calculate the prime factors of 24766 and 24780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24766 and 24780.

How to find the GCF of 24766 and 24780?

We will first find the prime factorization of 24766 and 24780. After we will calculate the factors of 24766 and 24780 and find the biggest common factor number .

Step-1: Prime Factorization of 24766

Prime factors of 24766 are 2, 7, 29, 61. Prime factorization of 24766 in exponential form is:

24766 = 2¹ × 7¹ × 29¹ × 61¹

Step-2: 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-3: Factors of 24766

List of positive integer factors of 24766 that divides 24766 without a remainder.

1, 2, 7, 14, 29, 58, 61, 122, 203, 406, 427, 854, 1769, 3538, 12383

Step-4: Factors of 24780

List of positive integer factors of 24780 that divides 24766 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24766 and 24780. The biggest common factor number is the GCF number.
So the greatest common factor 24766 and 24780 is 14.

Also check out the Least Common Multiple of 24766 and 24780