What is the greatest common factor of 21 and 63?
Understand the Problem
The question is asking us to find the greatest common factor (GCF) of the numbers 21 and 63. This involves determining the largest integer that divides both numbers without leaving a remainder.
Answer
The GCF of 21 and 63 is $21$.
Answer for screen readers
The greatest common factor (GCF) of 21 and 63 is $21$.
Steps to Solve
- List the factors of each number
Begin by finding all the factors of both 21 and 63.
For 21, the factors are: 1, 3, 7, 21
For 63, the factors are: 1, 3, 7, 9, 21, 63
- Identify the common factors
Look for the factors that both 21 and 63 share. From the factors listed: Common factors are: 1, 3, 7, 21
- Find the greatest common factor (GCF)
Among the common factors, the greatest one is the GCF. The largest factor from the common factors is 21.
The greatest common factor (GCF) of 21 and 63 is $21$.
More Information
The GCF represents the largest number that evenly divides two or more integers. In this case, both 21 and 63 can be evenly divided by 21.
Tips
- Confusing factors with multiples: Ensure you are listing factors, which divide the number without a remainder.
- Not considering all common factors: Make sure to list all factors correctly before identifying the common ones.
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