What is the Greatest Common Factor of 28536 and 28548?

Greatest common factor (GCF) of 28536 and 28548 is 12.

GCF(28536,28548) = 12

We will now calculate the prime factors of 28536 and 28548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28536 and 28548.

How to find the GCF of 28536 and 28548?

We will first find the prime factorization of 28536 and 28548. After we will calculate the factors of 28536 and 28548 and find the biggest common factor number .

Step-1: Prime Factorization of 28536

Prime factors of 28536 are 2, 3, 29, 41. Prime factorization of 28536 in exponential form is:

28536 = 2³ × 3¹ × 29¹ × 41¹

Step-2: 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-3: Factors of 28536

List of positive integer factors of 28536 that divides 28536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 41, 58, 82, 87, 116, 123, 164, 174, 232, 246, 328, 348, 492, 696, 984, 1189, 2378, 3567, 4756, 7134, 9512, 14268

Step-4: Factors of 28548

List of positive integer factors of 28548 that divides 28536 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28536 and 28548. The biggest common factor number is the GCF number.
So the greatest common factor 28536 and 28548 is 12.

Also check out the Least Common Multiple of 28536 and 28548