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Find the GCF of 170 and 210.

A. 3
B. 10
C. 7

Answer :

To find the greatest common factor (GCF) of 170 and 210, we can use the following steps:

1. List the Factors:
- First, list all the factors of each number.

- Factors of 170: 1, 2, 5, 10, 17, 34, 85, 170
- Factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

2. Identify Common Factors:
- Look for factors that are common to both 170 and 210. From the lists above, the common factors are 1, 2, 5, and 10.

3. Find the Greatest of the Common Factors:
- Among the common factors (1, 2, 5, and 10), the greatest is 10.

Therefore, the greatest common factor of 170 and 210 is 10.

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