🎧 New: AI-Generated Podcasts Turn your study notes into engaging audio conversations. Learn more

gcf of 64 and 32

Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 64 and 32. To solve this, we will determine the factors of both numbers and find the largest factor that they share.

Answer

$32$
Answer for screen readers

The greatest common factor (GCF) of 64 and 32 is $32$.

Steps to Solve

  1. List the factors of each number

To find the GCF, first, we will list all the factors of both 64 and 32.

  • Factors of 64: 1, 2, 4, 8, 16, 32, 64
  • Factors of 32: 1, 2, 4, 8, 16, 32
  1. Identify the common factors

Next, we will look for the factors that both numbers share.

  • Common factors: 1, 2, 4, 8, 16, 32
  1. Determine the greatest common factor

From the list of common factors, we will now find the largest one.

  • The greatest common factor of 64 and 32 is 32.

The greatest common factor (GCF) of 64 and 32 is $32$.

More Information

The GCF is the largest integer that can divide both numbers without leaving a remainder. In this case, since 32 is a factor of 64, it is the highest shared factor.

Tips

  • Forgetting to list all factors: Some may skip certain factors, making it difficult to find the correct GCF.
  • Choosing the wrong largest factor: After identifying common factors, make sure to pick the one that is the highest.
Thank you for voting!
Use Quizgecko on...
Browser
Browser