Question

Find the greatest common factor of the following monomials:

26rs, 30r556
(A) 2r
(B) 10r
(C) 26r
(D) 30r

Answer 1

The greatest common factor of 26rs and 30r556 is 2r.

Step-by-step explanation:

To find the greatest common factor (GCF) of the monomials 26rs and 30r556, we need to factorize the monomials into their prime factors and then find the common factors.

Let's start with 26rs:

• 26 can be factored as 2 * 13
• r is already a prime factor
• s is already a prime factor

Now let's factorize 30r556:

• 30 can be factored as 2 * 3 * 5
• r is already a prime factor
• 556 can be factored as 2 * 2 * 139

Now we can identify the common factors:

• The common factor of 2 * r is 2r

Therefore, the greatest common factor of 26rs and 30r556 is 2r (Option A).