What is the Greatest Common Factor of 24856 and 24866?

Greatest common factor (GCF) of 24856 and 24866 is 2.

GCF(24856,24866) = 2

We will now calculate the prime factors of 24856 and 24866, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24856 and 24866.

How to find the GCF of 24856 and 24866?

We will first find the prime factorization of 24856 and 24866. After we will calculate the factors of 24856 and 24866 and find the biggest common factor number .

Step-1: Prime Factorization of 24856

Prime factors of 24856 are 2, 13, 239. Prime factorization of 24856 in exponential form is:

24856 = 2³ × 13¹ × 239¹

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 24856

List of positive integer factors of 24856 that divides 24856 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 239, 478, 956, 1912, 3107, 6214, 12428

Step-4: Factors of 24866

List of positive integer factors of 24866 that divides 24856 without a remainder.

1, 2, 12433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24856 and 24866. The biggest common factor number is the GCF number.
So the greatest common factor 24856 and 24866 is 2.

Also check out the Least Common Multiple of 24856 and 24866