What is the Greatest Common Factor of 28329 and 28347?

Greatest common factor (GCF) of 28329 and 28347 is 3.

GCF(28329,28347) = 3

We will now calculate the prime factors of 28329 and 28347, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28329 and 28347.

How to find the GCF of 28329 and 28347?

We will first find the prime factorization of 28329 and 28347. After we will calculate the factors of 28329 and 28347 and find the biggest common factor number .

Step-1: Prime Factorization of 28329

Prime factors of 28329 are 3, 7, 19, 71. Prime factorization of 28329 in exponential form is:

28329 = 3¹ × 7¹ × 19¹ × 71¹

Step-2: Prime Factorization of 28347

Prime factors of 28347 are 3, 11, 859. Prime factorization of 28347 in exponential form is:

28347 = 3¹ × 11¹ × 859¹

Step-3: Factors of 28329

List of positive integer factors of 28329 that divides 28329 without a remainder.

1, 3, 7, 19, 21, 57, 71, 133, 213, 399, 497, 1349, 1491, 4047, 9443

Step-4: Factors of 28347

List of positive integer factors of 28347 that divides 28329 without a remainder.

1, 3, 11, 33, 859, 2577, 9449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28329 and 28347. The biggest common factor number is the GCF number.
So the greatest common factor 28329 and 28347 is 3.

Also check out the Least Common Multiple of 28329 and 28347