What is the Greatest Common Factor of 28839 and 28851?

Greatest common factor (GCF) of 28839 and 28851 is 3.

GCF(28839,28851) = 3

We will now calculate the prime factors of 28839 and 28851, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28839 and 28851.

How to find the GCF of 28839 and 28851?

We will first find the prime factorization of 28839 and 28851. After we will calculate the factors of 28839 and 28851 and find the biggest common factor number .

Step-1: Prime Factorization of 28839

Prime factors of 28839 are 3, 9613. Prime factorization of 28839 in exponential form is:

28839 = 3¹ × 9613¹

Step-2: Prime Factorization of 28851

Prime factors of 28851 are 3, 59, 163. Prime factorization of 28851 in exponential form is:

28851 = 3¹ × 59¹ × 163¹

Step-3: Factors of 28839

List of positive integer factors of 28839 that divides 28839 without a remainder.

1, 3, 9613

Step-4: Factors of 28851

List of positive integer factors of 28851 that divides 28839 without a remainder.

1, 3, 59, 163, 177, 489, 9617

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28839 and 28851. The biggest common factor number is the GCF number.
So the greatest common factor 28839 and 28851 is 3.

Also check out the Least Common Multiple of 28839 and 28851