What is the Greatest Common Factor of 25824 and 25833?

Greatest common factor (GCF) of 25824 and 25833 is 3.

GCF(25824,25833) = 3

We will now calculate the prime factors of 25824 and 25833, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25824 and 25833.

How to find the GCF of 25824 and 25833?

We will first find the prime factorization of 25824 and 25833. After we will calculate the factors of 25824 and 25833 and find the biggest common factor number .

Step-1: Prime Factorization of 25824

Prime factors of 25824 are 2, 3, 269. Prime factorization of 25824 in exponential form is:

25824 = 2⁵ × 3¹ × 269¹

Step-2: Prime Factorization of 25833

Prime factors of 25833 are 3, 79, 109. Prime factorization of 25833 in exponential form is:

25833 = 3¹ × 79¹ × 109¹

Step-3: Factors of 25824

List of positive integer factors of 25824 that divides 25824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 269, 538, 807, 1076, 1614, 2152, 3228, 4304, 6456, 8608, 12912

Step-4: Factors of 25833

List of positive integer factors of 25833 that divides 25824 without a remainder.

1, 3, 79, 109, 237, 327, 8611

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25824 and 25833. The biggest common factor number is the GCF number.
So the greatest common factor 25824 and 25833 is 3.

Also check out the Least Common Multiple of 25824 and 25833