What is the Greatest Common Factor of 28854 and 28862?

Greatest common factor (GCF) of 28854 and 28862 is 2.

GCF(28854,28862) = 2

We will now calculate the prime factors of 28854 and 28862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28854 and 28862.

How to find the GCF of 28854 and 28862?

We will first find the prime factorization of 28854 and 28862. After we will calculate the factors of 28854 and 28862 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 28862

Prime factors of 28862 are 2, 14431. Prime factorization of 28862 in exponential form is:

28862 = 2¹ × 14431¹

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 28862

List of positive integer factors of 28862 that divides 28854 without a remainder.

1, 2, 14431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28854 and 28862. The biggest common factor number is the GCF number.
So the greatest common factor 28854 and 28862 is 2.

Also check out the Least Common Multiple of 28854 and 28862