What is the Greatest Common Factor of 28888 and 28898?

Greatest common factor (GCF) of 28888 and 28898 is 2.

GCF(28888,28898) = 2

We will now calculate the prime factors of 28888 and 28898, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28888 and 28898.

How to find the GCF of 28888 and 28898?

We will first find the prime factorization of 28888 and 28898. After we will calculate the factors of 28888 and 28898 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28898

Prime factors of 28898 are 2, 14449. Prime factorization of 28898 in exponential form is:

28898 = 2¹ × 14449¹

Step-3: Factors of 28888

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

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

Step-4: Factors of 28898

List of positive integer factors of 28898 that divides 28888 without a remainder.

1, 2, 14449

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28888 and 28898. The biggest common factor number is the GCF number.
So the greatest common factor 28888 and 28898 is 2.

Also check out the Least Common Multiple of 28888 and 28898