What is the Greatest Common Factor of 28548 and 28563?

Greatest common factor (GCF) of 28548 and 28563 is 3.

GCF(28548,28563) = 3

We will now calculate the prime factors of 28548 and 28563, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28548 and 28563.

How to find the GCF of 28548 and 28563?

We will first find the prime factorization of 28548 and 28563. After we will calculate the factors of 28548 and 28563 and find the biggest common factor number .

Step-1: Prime Factorization of 28548

Prime factors of 28548 are 2, 3, 13, 61. Prime factorization of 28548 in exponential form is:

28548 = 2² × 3² × 13¹ × 61¹

Step-2: Prime Factorization of 28563

Prime factors of 28563 are 3, 9521. Prime factorization of 28563 in exponential form is:

28563 = 3¹ × 9521¹

Step-3: Factors of 28548

List of positive integer factors of 28548 that divides 28548 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 61, 78, 117, 122, 156, 183, 234, 244, 366, 468, 549, 732, 793, 1098, 1586, 2196, 2379, 3172, 4758, 7137, 9516, 14274

Step-4: Factors of 28563

List of positive integer factors of 28563 that divides 28548 without a remainder.

1, 3, 9521

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28548 and 28563. The biggest common factor number is the GCF number.
So the greatest common factor 28548 and 28563 is 3.

Also check out the Least Common Multiple of 28548 and 28563