what is the GFC of 30 and 60?
The greatest common factor (GCF) of 30 and 60 is 30.
To find the greatest common factor (GCF) of two numbers, such as 30 and 60, we can follow these steps:
Step 1: List the factors of both numbers:
- Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
- Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Step 2: Identify the common factors:
- Common factors of 30 and 60: 1, 2, 3, 5, 6, 10, 15, 30
Step 3: Determine the largest common factor:
- The largest common factor (GCF) of 30 and 60 is 30.
Therefore, the GCF of 30 and 60 is 30.
To find the greatest common factor (GCF) of two numbers, such as 30 and 60, you can follow a step-by-step process:
1. Start by listing the factors of both numbers. A factor is a whole number that evenly divides another number without leaving a remainder.
- The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30.
- The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
2. Identify the common factors that appear in both lists. In this case, the common factors of 30 and 60 are: 1, 2, 3, 5, 6, 10, 15, and 30.
3. Determine the greatest common factor by selecting the largest common factor from the list. In this case, the greatest common factor of 30 and 60 is 30.
So, the GCF of 30 and 60 is 30.