GCF of 40 and 63

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 40 and 63. To find the GCF, we will need to determine the factors of both numbers and identify the largest factor they have in common.

Answer

1
Answer for screen readers

The greatest common factor (GCF) of 40 and 63 is 1.

Steps to Solve

  1. List the factors of 40 First, we need to find all the factors of 40. The factors of 40 are the numbers that divide 40 evenly.

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.

  1. List the factors of 63 Next, we will find all the factors of 63 in the same manner.

The factors of 63 are: 1, 3, 7, 9, 21, 63.

  1. Identify the common factors Now, we need to compare the two lists of factors and find the common factors.

The common factors of 40 and 63 are: 1.

  1. Determine the greatest common factor Finally, from the common factors, we identify the greatest one.

The greatest common factor (GCF) of 40 and 63 is: 1.

The greatest common factor (GCF) of 40 and 63 is 1.

More Information

The GCF represents the largest number that can evenly divide both original numbers. In this case, 40 and 63 share only the factor 1, indicating they are relatively prime to each other.

Tips

  • Forgetting to list all factors: Make sure to include all possible factors for each number.
  • Confusing common factors with prime factors: Common factors include any number that divides both, regardless of being prime.

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