What is the Greatest Common Factor of 28288 and 28302?

Greatest common factor (GCF) of 28288 and 28302 is 2.

GCF(28288,28302) = 2

We will now calculate the prime factors of 28288 and 28302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28288 and 28302.

How to find the GCF of 28288 and 28302?

We will first find the prime factorization of 28288 and 28302. After we will calculate the factors of 28288 and 28302 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28302

Prime factors of 28302 are 2, 3, 53, 89. Prime factorization of 28302 in exponential form is:

28302 = 2¹ × 3¹ × 53¹ × 89¹

Step-3: Factors of 28288

List of positive integer factors of 28288 that divides 28288 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

Step-4: Factors of 28302

List of positive integer factors of 28302 that divides 28288 without a remainder.

1, 2, 3, 6, 53, 89, 106, 159, 178, 267, 318, 534, 4717, 9434, 14151

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28288 and 28302. The biggest common factor number is the GCF number.
So the greatest common factor 28288 and 28302 is 2.

Also check out the Least Common Multiple of 28288 and 28302