What is the Greatest Common Factor of 28838 and 28854?

Greatest common factor (GCF) of 28838 and 28854 is 2.

GCF(28838,28854) = 2

We will now calculate the prime factors of 28838 and 28854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28838 and 28854.

How to find the GCF of 28838 and 28854?

We will first find the prime factorization of 28838 and 28854. After we will calculate the factors of 28838 and 28854 and find the biggest common factor number .

Step-1: Prime Factorization of 28838

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

28838 = 2¹ × 14419¹

Step-2: Prime Factorization of 28854

Prime factors of 28854 are 2, 3, 7, 229. Prime factorization of 28854 in exponential form is:

28854 = 2¹ × 3² × 7¹ × 229¹

Step-3: Factors of 28838

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

1, 2, 14419

Step-4: Factors of 28854

List of positive integer factors of 28854 that divides 28838 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 229, 458, 687, 1374, 1603, 2061, 3206, 4122, 4809, 9618, 14427

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28838 and 28854. The biggest common factor number is the GCF number.
So the greatest common factor 28838 and 28854 is 2.

Also check out the Least Common Multiple of 28838 and 28854