What is the Greatest Common Factor of 28296 and 28312?

Greatest common factor (GCF) of 28296 and 28312 is 8.

GCF(28296,28312) = 8

We will now calculate the prime factors of 28296 and 28312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28296 and 28312.

How to find the GCF of 28296 and 28312?

We will first find the prime factorization of 28296 and 28312. After we will calculate the factors of 28296 and 28312 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 28312

Prime factors of 28312 are 2, 3539. Prime factorization of 28312 in exponential form is:

28312 = 2³ × 3539¹

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 28312

List of positive integer factors of 28312 that divides 28296 without a remainder.

1, 2, 4, 8, 3539, 7078, 14156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28296 and 28312. The biggest common factor number is the GCF number.
So the greatest common factor 28296 and 28312 is 8.

Also check out the Least Common Multiple of 28296 and 28312