What is the Greatest Common Factor of 28464 and 28473?

Greatest common factor (GCF) of 28464 and 28473 is 3.

GCF(28464,28473) = 3

We will now calculate the prime factors of 28464 and 28473, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28464 and 28473.

How to find the GCF of 28464 and 28473?

We will first find the prime factorization of 28464 and 28473. After we will calculate the factors of 28464 and 28473 and find the biggest common factor number .

Step-1: Prime Factorization of 28464

Prime factors of 28464 are 2, 3, 593. Prime factorization of 28464 in exponential form is:

28464 = 2⁴ × 3¹ × 593¹

Step-2: Prime Factorization of 28473

Prime factors of 28473 are 3, 9491. Prime factorization of 28473 in exponential form is:

28473 = 3¹ × 9491¹

Step-3: Factors of 28464

List of positive integer factors of 28464 that divides 28464 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 593, 1186, 1779, 2372, 3558, 4744, 7116, 9488, 14232

Step-4: Factors of 28473

List of positive integer factors of 28473 that divides 28464 without a remainder.

1, 3, 9491

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28464 and 28473. The biggest common factor number is the GCF number.
So the greatest common factor 28464 and 28473 is 3.

Also check out the Least Common Multiple of 28464 and 28473