What is the Greatest Common Factor of 28288 and 28308?

Greatest common factor (GCF) of 28288 and 28308 is 4.

GCF(28288,28308) = 4

We will now calculate the prime factors of 28288 and 28308, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28288 and 28308.

How to find the GCF of 28288 and 28308?

We will first find the prime factorization of 28288 and 28308. After we will calculate the factors of 28288 and 28308 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 28308

Prime factors of 28308 are 2, 3, 7, 337. Prime factorization of 28308 in exponential form is:

28308 = 2² × 3¹ × 7¹ × 337¹

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 28308

List of positive integer factors of 28308 that divides 28288 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 337, 674, 1011, 1348, 2022, 2359, 4044, 4718, 7077, 9436, 14154

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28288 and 28308. The biggest common factor number is the GCF number.
So the greatest common factor 28288 and 28308 is 4.

Also check out the Least Common Multiple of 28288 and 28308