What is the Greatest Common Factor of 28272 and 28290?

Greatest common factor (GCF) of 28272 and 28290 is 6.

GCF(28272,28290) = 6

We will now calculate the prime factors of 28272 and 28290, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28272 and 28290.

How to find the GCF of 28272 and 28290?

We will first find the prime factorization of 28272 and 28290. After we will calculate the factors of 28272 and 28290 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 28290

Prime factors of 28290 are 2, 3, 5, 23, 41. Prime factorization of 28290 in exponential form is:

28290 = 2¹ × 3¹ × 5¹ × 23¹ × 41¹

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 28290

List of positive integer factors of 28290 that divides 28272 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 41, 46, 69, 82, 115, 123, 138, 205, 230, 246, 345, 410, 615, 690, 943, 1230, 1886, 2829, 4715, 5658, 9430, 14145

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28272 and 28290. The biggest common factor number is the GCF number.
So the greatest common factor 28272 and 28290 is 6.

Also check out the Least Common Multiple of 28272 and 28290