What is the Greatest Common Factor of 28296 and 28302?

Greatest common factor (GCF) of 28296 and 28302 is 6.

GCF(28296,28302) = 6

We will now calculate the prime factors of 28296 and 28302, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28296 and 28302.

How to find the GCF of 28296 and 28302?

We will first find the prime factorization of 28296 and 28302. After we will calculate the factors of 28296 and 28302 and find the biggest common factor number .

Step-1: 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-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 28296

List of positive integer factors of 28296 that divides 28296 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

Step-4: Factors of 28302

List of positive integer factors of 28302 that divides 28296 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 28296 and 28302. The biggest common factor number is the GCF number.
So the greatest common factor 28296 and 28302 is 6.

Also check out the Least Common Multiple of 28296 and 28302