What is the Greatest Common Factor of 28854 and 28858?

Greatest common factor (GCF) of 28854 and 28858 is 2.

GCF(28854,28858) = 2

We will now calculate the prime factors of 28854 and 28858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28854 and 28858.

How to find the GCF of 28854 and 28858?

We will first find the prime factorization of 28854 and 28858. After we will calculate the factors of 28854 and 28858 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28858

Prime factors of 28858 are 2, 47, 307. Prime factorization of 28858 in exponential form is:

28858 = 2¹ × 47¹ × 307¹

Step-3: Factors of 28854

List of positive integer factors of 28854 that divides 28854 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

Step-4: Factors of 28858

List of positive integer factors of 28858 that divides 28854 without a remainder.

1, 2, 47, 94, 307, 614, 14429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28854 and 28858. The biggest common factor number is the GCF number.
So the greatest common factor 28854 and 28858 is 2.

Also check out the Least Common Multiple of 28854 and 28858