What is the Greatest Common Factor of 28852 and 28858?

Greatest common factor (GCF) of 28852 and 28858 is 2.

GCF(28852,28858) = 2

We will now calculate the prime factors of 28852 and 28858, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28852 and 28858.

How to find the GCF of 28852 and 28858?

We will first find the prime factorization of 28852 and 28858. After we will calculate the factors of 28852 and 28858 and find the biggest common factor number .

Step-1: Prime Factorization of 28852

Prime factors of 28852 are 2, 7213. Prime factorization of 28852 in exponential form is:

28852 = 2² × 7213¹

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 28852

List of positive integer factors of 28852 that divides 28852 without a remainder.

1, 2, 4, 7213, 14426

Step-4: Factors of 28858

List of positive integer factors of 28858 that divides 28852 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28852 and 28858. The biggest common factor number is the GCF number.
So the greatest common factor 28852 and 28858 is 2.

Also check out the Least Common Multiple of 28852 and 28858