Answer :
To find the greatest common factor (GCF) of the numbers 42, 126, and 210, follow these steps:
1. List the Factors:
- Factors of 42:
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
- Factors of 126:
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.
- Factors of 210:
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
2. Identify Common Factors:
- The common factors of these three numbers are 1, 2, 3, 6, 7, 14, and 21, and 42.
3. Determine the Greatest Common Factor:
- Among the common factors, the greatest one is 42.
Therefore, the greatest common factor of 42, 126, and 210 is 42.
1. List the Factors:
- Factors of 42:
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42.
- Factors of 126:
The factors of 126 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126.
- Factors of 210:
The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, and 210.
2. Identify Common Factors:
- The common factors of these three numbers are 1, 2, 3, 6, 7, 14, and 21, and 42.
3. Determine the Greatest Common Factor:
- Among the common factors, the greatest one is 42.
Therefore, the greatest common factor of 42, 126, and 210 is 42.
