What is the Greatest Common Factor of 28272 and 28287?

Greatest common factor (GCF) of 28272 and 28287 is 3.

GCF(28272,28287) = 3

We will now calculate the prime factors of 28272 and 28287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28272 and 28287.

How to find the GCF of 28272 and 28287?

We will first find the prime factorization of 28272 and 28287. After we will calculate the factors of 28272 and 28287 and find the biggest common factor number .

Step-1: Prime Factorization of 28272

Prime factors of 28272 are 2, 3, 19, 31. Prime factorization of 28272 in exponential form is:

28272 = 2⁴ × 3¹ × 19¹ × 31¹

Step-2: Prime Factorization of 28287

Prime factors of 28287 are 3, 7, 449. Prime factorization of 28287 in exponential form is:

28287 = 3² × 7¹ × 449¹

Step-3: Factors of 28272

List of positive integer factors of 28272 that divides 28272 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 31, 38, 48, 57, 62, 76, 93, 114, 124, 152, 186, 228, 248, 304, 372, 456, 496, 589, 744, 912, 1178, 1488, 1767, 2356, 3534, 4712, 7068, 9424, 14136

Step-4: Factors of 28287

List of positive integer factors of 28287 that divides 28272 without a remainder.

1, 3, 7, 9, 21, 63, 449, 1347, 3143, 4041, 9429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28272 and 28287. The biggest common factor number is the GCF number.
So the greatest common factor 28272 and 28287 is 3.

Also check out the Least Common Multiple of 28272 and 28287