What is the Greatest Common Factor of 24957 and 24966?

Greatest common factor (GCF) of 24957 and 24966 is 9.

GCF(24957,24966) = 9

We will now calculate the prime factors of 24957 and 24966, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24957 and 24966.

How to find the GCF of 24957 and 24966?

We will first find the prime factorization of 24957 and 24966. After we will calculate the factors of 24957 and 24966 and find the biggest common factor number .

Step-1: Prime Factorization of 24957

Prime factors of 24957 are 3, 47, 59. Prime factorization of 24957 in exponential form is:

24957 = 3² × 47¹ × 59¹

Step-2: Prime Factorization of 24966

Prime factors of 24966 are 2, 3, 19, 73. Prime factorization of 24966 in exponential form is:

24966 = 2¹ × 3² × 19¹ × 73¹

Step-3: Factors of 24957

List of positive integer factors of 24957 that divides 24957 without a remainder.

1, 3, 9, 47, 59, 141, 177, 423, 531, 2773, 8319

Step-4: Factors of 24966

List of positive integer factors of 24966 that divides 24957 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 73, 114, 146, 171, 219, 342, 438, 657, 1314, 1387, 2774, 4161, 8322, 12483

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24957 and 24966. The biggest common factor number is the GCF number.
So the greatest common factor 24957 and 24966 is 9.

Also check out the Least Common Multiple of 24957 and 24966