What is the Greatest Common Factor of 28548 and 28564?

Greatest common factor (GCF) of 28548 and 28564 is 4.

GCF(28548,28564) = 4

We will now calculate the prime factors of 28548 and 28564, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28548 and 28564.

How to find the GCF of 28548 and 28564?

We will first find the prime factorization of 28548 and 28564. After we will calculate the factors of 28548 and 28564 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 28564

Prime factors of 28564 are 2, 37, 193. Prime factorization of 28564 in exponential form is:

28564 = 2² × 37¹ × 193¹

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 28564

List of positive integer factors of 28564 that divides 28548 without a remainder.

1, 2, 4, 37, 74, 148, 193, 386, 772, 7141, 14282

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28548 and 28564. The biggest common factor number is the GCF number.
So the greatest common factor 28548 and 28564 is 4.

Also check out the Least Common Multiple of 28548 and 28564