What is the Greatest Common Factor of 28876 and 28888?

Greatest common factor (GCF) of 28876 and 28888 is 4.

GCF(28876,28888) = 4

We will now calculate the prime factors of 28876 and 28888, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28876 and 28888.

How to find the GCF of 28876 and 28888?

We will first find the prime factorization of 28876 and 28888. After we will calculate the factors of 28876 and 28888 and find the biggest common factor number .

Step-1: Prime Factorization of 28876

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

28876 = 2² × 7219¹

Step-2: Prime Factorization of 28888

Prime factors of 28888 are 2, 23, 157. Prime factorization of 28888 in exponential form is:

28888 = 2³ × 23¹ × 157¹

Step-3: Factors of 28876

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

1, 2, 4, 7219, 14438

Step-4: Factors of 28888

List of positive integer factors of 28888 that divides 28876 without a remainder.

1, 2, 4, 8, 23, 46, 92, 157, 184, 314, 628, 1256, 3611, 7222, 14444

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28876 and 28888. The biggest common factor number is the GCF number.
So the greatest common factor 28876 and 28888 is 4.

Also check out the Least Common Multiple of 28876 and 28888