# What is the GCF of 25 and 36?

#### Understand the Problem

The question is asking for the greatest common factor (GCF) of the numbers 25 and 36. To solve this, we will identify the factors of each number and determine the largest factor that they have in common.

#### Answer

The greatest common factor of 25 and 36 is $1$.
##### Answer for screen readers

The greatest common factor (GCF) of 25 and 36 is $1$.

#### Steps to Solve

1. Identify the factors of 25

List all the factors of 25. A factor is a number that divides another number without leaving a remainder.

Factors of 25 are: 1, 5, 25.

1. Identify the factors of 36

List all the factors of 36 in a similar manner.

Factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36.

1. Compare the factors of both numbers

Now, look for the common factors between the two lists of factors.

Common factors of 25 and 36 are: 1.

1. Determine the greatest common factor

Among the common factors, identify the greatest one.

The greatest common factor (GCF) of 25 and 36 is: 1.

The greatest common factor (GCF) of 25 and 36 is $1$.

#### More Information

The greatest common factor is the largest number that can divide both numbers without leaving a remainder. In this case, since 25 and 36 do not share any other factors except 1, their GCF is 1.

#### Tips

• A common mistake is assuming that larger numbers are common factors. Remember to always check the lists of actual factors.
• Another mistake may occur by not listing all factors correctly. It's important to ensure you've included all possible divisors for each number.
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