Answer:
<u>5</u>
Step-by-step explanation:
Since 5x,25 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.
Steps to find the GCF for 5x,25:
1. Find the GCF for the numerical part 5,25
2. Find the GCF for the variable part x1
3. Multiply the values together
Find the common factors for the numerical part: 5,25
The factors for 5 are −5,−1, 1,5.
The factors for 25 are −25,−5,−1, 1,5,25.
List all the factors for 5,25 to find the common factors.
5: −5, −1, 1,5
25: −25, −5, −1, 1, 5, 25
The common factors for 5,25 are −5,−1,1,5.−5,−1,1,5
The numbers do not contain any common variable factors. The GCF (HCF) of the numerical factors −5,−1,1,5 is 5.
5
