What is the Greatest Common Factor of 28833 and 28842?

Greatest common factor (GCF) of 28833 and 28842 is 3.

GCF(28833,28842) = 3

We will now calculate the prime factors of 28833 and 28842, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28833 and 28842.

How to find the GCF of 28833 and 28842?

We will first find the prime factorization of 28833 and 28842. After we will calculate the factors of 28833 and 28842 and find the biggest common factor number .

Step-1: Prime Factorization of 28833

Prime factors of 28833 are 3, 7, 1373. Prime factorization of 28833 in exponential form is:

28833 = 3¹ × 7¹ × 1373¹

Step-2: Prime Factorization of 28842

Prime factors of 28842 are 2, 3, 11, 19, 23. Prime factorization of 28842 in exponential form is:

28842 = 2¹ × 3¹ × 11¹ × 19¹ × 23¹

Step-3: Factors of 28833

List of positive integer factors of 28833 that divides 28833 without a remainder.

1, 3, 7, 21, 1373, 4119, 9611

Step-4: Factors of 28842

List of positive integer factors of 28842 that divides 28833 without a remainder.

1, 2, 3, 6, 11, 19, 22, 23, 33, 38, 46, 57, 66, 69, 114, 138, 209, 253, 418, 437, 506, 627, 759, 874, 1254, 1311, 1518, 2622, 4807, 9614, 14421

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28833 and 28842. The biggest common factor number is the GCF number.
So the greatest common factor 28833 and 28842 is 3.

Also check out the Least Common Multiple of 28833 and 28842