What is the Greatest Common Factor of 28443 and 28456?

Greatest common factor (GCF) of 28443 and 28456 is 1.

GCF(28443,28456) = 1

We will now calculate the prime factors of 28443 and 28456, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28443 and 28456.

How to find the GCF of 28443 and 28456?

We will first find the prime factorization of 28443 and 28456. After we will calculate the factors of 28443 and 28456 and find the biggest common factor number .

Step-1: Prime Factorization of 28443

Prime factors of 28443 are 3, 19, 499. Prime factorization of 28443 in exponential form is:

28443 = 3¹ × 19¹ × 499¹

Step-2: Prime Factorization of 28456

Prime factors of 28456 are 2, 3557. Prime factorization of 28456 in exponential form is:

28456 = 2³ × 3557¹

Step-3: Factors of 28443

List of positive integer factors of 28443 that divides 28443 without a remainder.

1, 3, 19, 57, 499, 1497, 9481

Step-4: Factors of 28456

List of positive integer factors of 28456 that divides 28443 without a remainder.

1, 2, 4, 8, 3557, 7114, 14228

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28443 and 28456. The biggest common factor number is the GCF number.
So the greatest common factor 28443 and 28456 is 1.

Also check out the Least Common Multiple of 28443 and 28456