What is the Greatest Common Factor of 24852 and 24866?

Greatest common factor (GCF) of 24852 and 24866 is 2.

GCF(24852,24866) = 2

We will now calculate the prime factors of 24852 and 24866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24852 and 24866.

How to find the GCF of 24852 and 24866?

We will first find the prime factorization of 24852 and 24866. After we will calculate the factors of 24852 and 24866 and find the biggest common factor number .

Step-1: Prime Factorization of 24852

Prime factors of 24852 are 2, 3, 19, 109. Prime factorization of 24852 in exponential form is:

24852 = 2² × 3¹ × 19¹ × 109¹

Step-2: Prime Factorization of 24866

Prime factors of 24866 are 2, 12433. Prime factorization of 24866 in exponential form is:

24866 = 2¹ × 12433¹

Step-3: Factors of 24852

List of positive integer factors of 24852 that divides 24852 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 109, 114, 218, 228, 327, 436, 654, 1308, 2071, 4142, 6213, 8284, 12426

Step-4: Factors of 24866

List of positive integer factors of 24866 that divides 24852 without a remainder.

1, 2, 12433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24852 and 24866. The biggest common factor number is the GCF number.
So the greatest common factor 24852 and 24866 is 2.

Also check out the Least Common Multiple of 24852 and 24866