What is the Greatest Common Factor of 28272 and 28286?

Greatest common factor (GCF) of 28272 and 28286 is 2.

GCF(28272,28286) = 2

We will now calculate the prime factors of 28272 and 28286, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28272 and 28286.

How to find the GCF of 28272 and 28286?

We will first find the prime factorization of 28272 and 28286. After we will calculate the factors of 28272 and 28286 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 28286

Prime factors of 28286 are 2, 14143. Prime factorization of 28286 in exponential form is:

28286 = 2¹ × 14143¹

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 28286

List of positive integer factors of 28286 that divides 28272 without a remainder.

1, 2, 14143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28272 and 28286. The biggest common factor number is the GCF number.
So the greatest common factor 28272 and 28286 is 2.

Also check out the Least Common Multiple of 28272 and 28286