What is the Greatest Common Factor of 24966 and 24977?

Greatest common factor (GCF) of 24966 and 24977 is 1.

GCF(24966,24977) = 1

We will now calculate the prime factors of 24966 and 24977, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24966 and 24977.

How to find the GCF of 24966 and 24977?

We will first find the prime factorization of 24966 and 24977. After we will calculate the factors of 24966 and 24977 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24977

Prime factors of 24977 are 24977. Prime factorization of 24977 in exponential form is:

24977 = 24977¹

Step-3: Factors of 24966

List of positive integer factors of 24966 that divides 24966 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

Step-4: Factors of 24977

List of positive integer factors of 24977 that divides 24966 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24966 and 24977. The biggest common factor number is the GCF number.
So the greatest common factor 24966 and 24977 is 1.

Also check out the Least Common Multiple of 24966 and 24977