What is the Greatest Common Factor of 28870 and 28876?

Greatest common factor (GCF) of 28870 and 28876 is 2.

GCF(28870,28876) = 2

We will now calculate the prime factors of 28870 and 28876, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28870 and 28876.

How to find the GCF of 28870 and 28876?

We will first find the prime factorization of 28870 and 28876. After we will calculate the factors of 28870 and 28876 and find the biggest common factor number .

Step-1: Prime Factorization of 28870

Prime factors of 28870 are 2, 5, 2887. Prime factorization of 28870 in exponential form is:

28870 = 2¹ × 5¹ × 2887¹

Step-2: Prime Factorization of 28876

Prime factors of 28876 are 2, 7219. Prime factorization of 28876 in exponential form is:

28876 = 2² × 7219¹

Step-3: Factors of 28870

List of positive integer factors of 28870 that divides 28870 without a remainder.

1, 2, 5, 10, 2887, 5774, 14435

Step-4: Factors of 28876

List of positive integer factors of 28876 that divides 28870 without a remainder.

1, 2, 4, 7219, 14438

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28870 and 28876. The biggest common factor number is the GCF number.
So the greatest common factor 28870 and 28876 is 2.

Also check out the Least Common Multiple of 28870 and 28876