What is the Greatest Common Factor of 28278 and 28293?

Greatest common factor (GCF) of 28278 and 28293 is 3.

GCF(28278,28293) = 3

We will now calculate the prime factors of 28278 and 28293, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28278 and 28293.

How to find the GCF of 28278 and 28293?

We will first find the prime factorization of 28278 and 28293. After we will calculate the factors of 28278 and 28293 and find the biggest common factor number .

Step-1: Prime Factorization of 28278

Prime factors of 28278 are 2, 3, 1571. Prime factorization of 28278 in exponential form is:

28278 = 2¹ × 3² × 1571¹

Step-2: Prime Factorization of 28293

Prime factors of 28293 are 3, 9431. Prime factorization of 28293 in exponential form is:

28293 = 3¹ × 9431¹

Step-3: Factors of 28278

List of positive integer factors of 28278 that divides 28278 without a remainder.

1, 2, 3, 6, 9, 18, 1571, 3142, 4713, 9426, 14139

Step-4: Factors of 28293

List of positive integer factors of 28293 that divides 28278 without a remainder.

1, 3, 9431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28278 and 28293. The biggest common factor number is the GCF number.
So the greatest common factor 28278 and 28293 is 3.

Also check out the Least Common Multiple of 28278 and 28293