What is the Greatest Common Factor of 2421 and 2433?

Greatest common factor (GCF) of 2421 and 2433 is 3.

GCF(2421,2433) = 3

We will now calculate the prime factors of 2421 and 2433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 2421 and 2433.

How to find the GCF of 2421 and 2433?

We will first find the prime factorization of 2421 and 2433. After we will calculate the factors of 2421 and 2433 and find the biggest common factor number .

Step-1: Prime Factorization of 2421

Prime factors of 2421 are 3, 269. Prime factorization of 2421 in exponential form is:

2421 = 3² × 269¹

Step-2: Prime Factorization of 2433

Prime factors of 2433 are 3, 811. Prime factorization of 2433 in exponential form is:

2433 = 3¹ × 811¹

Step-3: Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1, 3, 9, 269, 807

Step-4: Factors of 2433

List of positive integer factors of 2433 that divides 2421 without a remainder.

1, 3, 811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 2421 and 2433. The biggest common factor number is the GCF number.
So the greatest common factor 2421 and 2433 is 3.

Also check out the Least Common Multiple of 2421 and 2433