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Answer :
To find the greatest common factor (GCF) of the numbers 42, 126, and 210, we can look at the factors of each number and find the largest factor that all three numbers share.
1. Factors of 42:
- 1, 2, 3, 6, 7, 14, 21, 42
2. Factors of 126:
- 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
3. Factors of 210:
- 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Now, let's identify the common factors among these three lists:
- The common factors are: 1, 2, 3, 6, 7, 14, 21, 42.
The greatest of these common factors is 42.
Therefore, the greatest common factor of 42, 126, and 210 is 42.
1. Factors of 42:
- 1, 2, 3, 6, 7, 14, 21, 42
2. Factors of 126:
- 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
3. Factors of 210:
- 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Now, let's identify the common factors among these three lists:
- The common factors are: 1, 2, 3, 6, 7, 14, 21, 42.
The greatest of these common factors is 42.
Therefore, the greatest common factor of 42, 126, and 210 is 42.
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