What is the Greatest Common Factor of 28767 and 28773?

Greatest common factor (GCF) of 28767 and 28773 is 3.

GCF(28767,28773) = 3

We will now calculate the prime factors of 28767 and 28773, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28767 and 28773.

How to find the GCF of 28767 and 28773?

We will first find the prime factorization of 28767 and 28773. After we will calculate the factors of 28767 and 28773 and find the biggest common factor number .

Step-1: Prime Factorization of 28767

Prime factors of 28767 are 3, 43, 223. Prime factorization of 28767 in exponential form is:

28767 = 3¹ × 43¹ × 223¹

Step-2: Prime Factorization of 28773

Prime factors of 28773 are 3, 23, 139. Prime factorization of 28773 in exponential form is:

28773 = 3² × 23¹ × 139¹

Step-3: Factors of 28767

List of positive integer factors of 28767 that divides 28767 without a remainder.

1, 3, 43, 129, 223, 669, 9589

Step-4: Factors of 28773

List of positive integer factors of 28773 that divides 28767 without a remainder.

1, 3, 9, 23, 69, 139, 207, 417, 1251, 3197, 9591

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28767 and 28773. The biggest common factor number is the GCF number.
So the greatest common factor 28767 and 28773 is 3.

Also check out the Least Common Multiple of 28767 and 28773