What is the Greatest Common Factor of 28888 and 28904?

Greatest common factor (GCF) of 28888 and 28904 is 8.

GCF(28888,28904) = 8

We will now calculate the prime factors of 28888 and 28904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28888 and 28904.

How to find the GCF of 28888 and 28904?

We will first find the prime factorization of 28888 and 28904. After we will calculate the factors of 28888 and 28904 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 28904

Prime factors of 28904 are 2, 3613. Prime factorization of 28904 in exponential form is:

28904 = 2³ × 3613¹

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 28904

List of positive integer factors of 28904 that divides 28888 without a remainder.

1, 2, 4, 8, 3613, 7226, 14452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28888 and 28904. The biggest common factor number is the GCF number.
So the greatest common factor 28888 and 28904 is 8.

Also check out the Least Common Multiple of 28888 and 28904