What is the Greatest Common Factor of 28288 and 28296?

Greatest common factor (GCF) of 28288 and 28296 is 8.

GCF(28288,28296) = 8

We will now calculate the prime factors of 28288 and 28296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28288 and 28296.

How to find the GCF of 28288 and 28296?

We will first find the prime factorization of 28288 and 28296. After we will calculate the factors of 28288 and 28296 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 28296

Prime factors of 28296 are 2, 3, 131. Prime factorization of 28296 in exponential form is:

28296 = 2³ × 3³ × 131¹

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 28296

List of positive integer factors of 28296 that divides 28288 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 131, 216, 262, 393, 524, 786, 1048, 1179, 1572, 2358, 3144, 3537, 4716, 7074, 9432, 14148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28288 and 28296. The biggest common factor number is the GCF number.
So the greatest common factor 28288 and 28296 is 8.

Also check out the Least Common Multiple of 28288 and 28296