What is the Greatest Common Factor of 28296 and 28301?

Greatest common factor (GCF) of 28296 and 28301 is 1.

GCF(28296,28301) = 1

We will now calculate the prime factors of 28296 and 28301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28296 and 28301.

How to find the GCF of 28296 and 28301?

We will first find the prime factorization of 28296 and 28301. After we will calculate the factors of 28296 and 28301 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 28301

Prime factors of 28301 are 7, 13, 311. Prime factorization of 28301 in exponential form is:

28301 = 7¹ × 13¹ × 311¹

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 28301

List of positive integer factors of 28301 that divides 28296 without a remainder.

1, 7, 13, 91, 311, 2177, 4043

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28296 and 28301. The biggest common factor number is the GCF number.
So the greatest common factor 28296 and 28301 is 1.

Also check out the Least Common Multiple of 28296 and 28301