Explorations Math A
greatest common factor
The greatest common factor of 15 and 45 what would it be?
1. 15
2. 6
3. 16
4. 14
5. 25
Do connections check?
can some one check my work?
To find the greatest common factor (GCF) of 15 and 45, you can follow these steps:
1. List the factors of 15: 1, 3, 5, 15.
2. List the factors of 45: 1, 3, 5, 9, 15, 45.
3. Find the common factors in both lists: 1, 3, 5, 15.
4. Identify the greatest common factor: The largest number in the common factor list is 15.
Therefore, the greatest common factor of 15 and 45 is 15.
To check your work, you can divide both numbers by the GCF and see if the result is a whole number. In this case, if you divide 15 by 15, you get 1, and if you divide 45 by 15, you get 3. Since both are whole numbers, it confirms that 15 is the GCF.
So, the correct answer is option 1: 15.