What is the Greatest Common Factor of 28296 and 28300?

Greatest common factor (GCF) of 28296 and 28300 is 4.

GCF(28296,28300) = 4

We will now calculate the prime factors of 28296 and 28300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28296 and 28300.

How to find the GCF of 28296 and 28300?

We will first find the prime factorization of 28296 and 28300. After we will calculate the factors of 28296 and 28300 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 28300

Prime factors of 28300 are 2, 5, 283. Prime factorization of 28300 in exponential form is:

28300 = 2² × 5² × 283¹

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 28300

List of positive integer factors of 28300 that divides 28296 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 283, 566, 1132, 1415, 2830, 5660, 7075, 14150

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28296 and 28300. The biggest common factor number is the GCF number.
So the greatest common factor 28296 and 28300 is 4.

Also check out the Least Common Multiple of 28296 and 28300