What is the Greatest Common Factor of 28824 and 28838?

Greatest common factor (GCF) of 28824 and 28838 is 2.

GCF(28824,28838) = 2

We will now calculate the prime factors of 28824 and 28838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28824 and 28838.

How to find the GCF of 28824 and 28838?

We will first find the prime factorization of 28824 and 28838. After we will calculate the factors of 28824 and 28838 and find the biggest common factor number .

Step-1: Prime Factorization of 28824

Prime factors of 28824 are 2, 3, 1201. Prime factorization of 28824 in exponential form is:

28824 = 2³ × 3¹ × 1201¹

Step-2: Prime Factorization of 28838

Prime factors of 28838 are 2, 14419. Prime factorization of 28838 in exponential form is:

28838 = 2¹ × 14419¹

Step-3: Factors of 28824

List of positive integer factors of 28824 that divides 28824 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1201, 2402, 3603, 4804, 7206, 9608, 14412

Step-4: Factors of 28838

List of positive integer factors of 28838 that divides 28824 without a remainder.

1, 2, 14419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28824 and 28838. The biggest common factor number is the GCF number.
So the greatest common factor 28824 and 28838 is 2.

Also check out the Least Common Multiple of 28824 and 28838