What is the Greatest Common Factor of 28389 and 28407?

Greatest common factor (GCF) of 28389 and 28407 is 3.

GCF(28389,28407) = 3

We will now calculate the prime factors of 28389 and 28407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28389 and 28407.

How to find the GCF of 28389 and 28407?

We will first find the prime factorization of 28389 and 28407. After we will calculate the factors of 28389 and 28407 and find the biggest common factor number .

Step-1: Prime Factorization of 28389

Prime factors of 28389 are 3, 9463. Prime factorization of 28389 in exponential form is:

28389 = 3¹ × 9463¹

Step-2: Prime Factorization of 28407

Prime factors of 28407 are 3, 17, 557. Prime factorization of 28407 in exponential form is:

28407 = 3¹ × 17¹ × 557¹

Step-3: Factors of 28389

List of positive integer factors of 28389 that divides 28389 without a remainder.

1, 3, 9463

Step-4: Factors of 28407

List of positive integer factors of 28407 that divides 28389 without a remainder.

1, 3, 17, 51, 557, 1671, 9469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28389 and 28407. The biggest common factor number is the GCF number.
So the greatest common factor 28389 and 28407 is 3.

Also check out the Least Common Multiple of 28389 and 28407