The greatest common factor of 15 and 45 is:
(1 point)
Responses
3
3
5
5
15
15
45
15
The greatest common factor of 18 and 42 is:
(1 point)
Responses
2
2
6
6
9
9
18
To find the greatest common factor (GCF) of 15 and 45, we can factorize both numbers and find the common factors.
The prime factorization of 15 is: 3 * 5
The prime factorization of 45 is: 3 * 3 * 5
To find the GCF, we take the product of the common prime factors with the lowest exponent:
GCF = 3 * 5 = 15
Therefore, the greatest common factor of 15 and 45 is 15.
To find the greatest common factor (GCF) of 15 and 45, we need to determine the largest number that divides evenly into both of them.
Here's how we can do it:
1. List the factors of the first number, 15:
- The factors of 15 are 1, 3, 5, and 15.
2. List the factors of the second number, 45:
- The factors of 45 are 1, 3, 5, 9, 15, and 45.
3. Identify the common factors:
- The common factors of 15 and 45 are 1, 3, 5, and 15.
4. Determine the greatest common factor:
- The greatest common factor (GCF) is the largest number from the common factors list, which is 15.
Therefore, the greatest common factor of 15 and 45 is 15.