What is the Greatest Common Factor of 28272 and 28284?

Greatest common factor (GCF) of 28272 and 28284 is 12.

GCF(28272,28284) = 12

We will now calculate the prime factors of 28272 and 28284, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28272 and 28284.

How to find the GCF of 28272 and 28284?

We will first find the prime factorization of 28272 and 28284. After we will calculate the factors of 28272 and 28284 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 28284

Prime factors of 28284 are 2, 3, 2357. Prime factorization of 28284 in exponential form is:

28284 = 2² × 3¹ × 2357¹

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 28284

List of positive integer factors of 28284 that divides 28272 without a remainder.

1, 2, 3, 4, 6, 12, 2357, 4714, 7071, 9428, 14142

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28272 and 28284. The biggest common factor number is the GCF number.
So the greatest common factor 28272 and 28284 is 12.

Also check out the Least Common Multiple of 28272 and 28284