High School

What is the greatest common factor of 42, 126, and 210?

F. 2
G. 6
H. 14
I. 21
J. 42

Answer :

To find the greatest common factor (GCF) of 42, 126, and 210, we need to follow these steps:

1. List the factors for each number:
- Factors of 42: 1, 2, 3, 6, 7, 14, 21, 42
- Factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
- Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 42, 70, 105, 210

2. Identify the common factors:
- Common factors are 1, 2, 3, 6, 7, 14, 21, 42.

3. Find the greatest common factor:
- From the list of common factors, the greatest one is 42.

Therefore, the greatest common factor of 42, 126, and 210 is 42.