What is the Greatest Common Factor of 28264 and 28272?

Greatest common factor (GCF) of 28264 and 28272 is 8.

GCF(28264,28272) = 8

We will now calculate the prime factors of 28264 and 28272, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28264 and 28272.

How to find the GCF of 28264 and 28272?

We will first find the prime factorization of 28264 and 28272. After we will calculate the factors of 28264 and 28272 and find the biggest common factor number .

Step-1: Prime Factorization of 28264

Prime factors of 28264 are 2, 3533. Prime factorization of 28264 in exponential form is:

28264 = 2³ × 3533¹

Step-2: 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-3: Factors of 28264

List of positive integer factors of 28264 that divides 28264 without a remainder.

1, 2, 4, 8, 3533, 7066, 14132

Step-4: Factors of 28272

List of positive integer factors of 28272 that divides 28264 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28264 and 28272. The biggest common factor number is the GCF number.
So the greatest common factor 28264 and 28272 is 8.

Also check out the Least Common Multiple of 28264 and 28272