What is the Greatest Common Factor of 24876 and 24896?

Greatest common factor (GCF) of 24876 and 24896 is 4.

GCF(24876,24896) = 4

We will now calculate the prime factors of 24876 and 24896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24876 and 24896.

How to find the GCF of 24876 and 24896?

We will first find the prime factorization of 24876 and 24896. After we will calculate the factors of 24876 and 24896 and find the biggest common factor number .

Step-1: Prime Factorization of 24876

Prime factors of 24876 are 2, 3, 691. Prime factorization of 24876 in exponential form is:

24876 = 2² × 3² × 691¹

Step-2: Prime Factorization of 24896

Prime factors of 24896 are 2, 389. Prime factorization of 24896 in exponential form is:

24896 = 2⁶ × 389¹

Step-3: Factors of 24876

List of positive integer factors of 24876 that divides 24876 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 691, 1382, 2073, 2764, 4146, 6219, 8292, 12438

Step-4: Factors of 24896

List of positive integer factors of 24896 that divides 24876 without a remainder.

1, 2, 4, 8, 16, 32, 64, 389, 778, 1556, 3112, 6224, 12448

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24876 and 24896. The biggest common factor number is the GCF number.
So the greatest common factor 24876 and 24896 is 4.

Also check out the Least Common Multiple of 24876 and 24896