What is the Greatest Common Factor of 28272 and 28288?

Greatest common factor (GCF) of 28272 and 28288 is 16.

GCF(28272,28288) = 16

We will now calculate the prime factors of 28272 and 28288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28272 and 28288.

How to find the GCF of 28272 and 28288?

We will first find the prime factorization of 28272 and 28288. After we will calculate the factors of 28272 and 28288 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 28288

Prime factors of 28288 are 2, 13, 17. Prime factorization of 28288 in exponential form is:

28288 = 2⁷ × 13¹ × 17¹

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 28288

List of positive integer factors of 28288 that divides 28272 without a remainder.

1, 2, 4, 8, 13, 16, 17, 26, 32, 34, 52, 64, 68, 104, 128, 136, 208, 221, 272, 416, 442, 544, 832, 884, 1088, 1664, 1768, 2176, 3536, 7072, 14144

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28272 and 28288. The biggest common factor number is the GCF number.
So the greatest common factor 28272 and 28288 is 16.

Also check out the Least Common Multiple of 28272 and 28288