What is the Greatest Common Factor of 5424 and 5433?

Greatest common factor (GCF) of 5424 and 5433 is 3.

GCF(5424,5433) = 3

We will now calculate the prime factors of 5424 and 5433, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5424 and 5433.

How to find the GCF of 5424 and 5433?

We will first find the prime factorization of 5424 and 5433. After we will calculate the factors of 5424 and 5433 and find the biggest common factor number .

Step-1: Prime Factorization of 5424

Prime factors of 5424 are 2, 3, 113. Prime factorization of 5424 in exponential form is:

5424 = 2⁴ × 3¹ × 113¹

Step-2: Prime Factorization of 5433

Prime factors of 5433 are 3, 1811. Prime factorization of 5433 in exponential form is:

5433 = 3¹ × 1811¹

Step-3: Factors of 5424

List of positive integer factors of 5424 that divides 5424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 113, 226, 339, 452, 678, 904, 1356, 1808, 2712

Step-4: Factors of 5433

List of positive integer factors of 5433 that divides 5424 without a remainder.

1, 3, 1811

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5424 and 5433. The biggest common factor number is the GCF number.
So the greatest common factor 5424 and 5433 is 3.

Also check out the Least Common Multiple of 5424 and 5433