Greatest Common Factor Math Example 4

Follow the full solution, then compare it with the other examples linked below.

Example 4

easy
A teacher has ribbons of lengths 2424 cm and 3636 cm. She wants to cut them into the longest equal pieces with no leftover. How long should each piece be?

Solution

  1. 1
    Find the common factors of 24 and 36. The greatest one is 12.
  2. 2
    So the longest equal ribbon length is 1212 cm.

Answer

12 cm12\text{ cm}
Real-world GCF problems ask for the largest equal size that fits evenly into each quantity. That largest shared size is the greatest common factor.

About Greatest Common Factor

The greatest common factor (GCF) of two or more numbers is the largest positive integer that divides each of them evenly, with no remainder. It is also called the greatest common divisor (GCD).

Learn more about Greatest Common Factor →

More Greatest Common Factor Examples

Example 1 easy

Find the GCF of [formula] and [formula].

Example 2 medium

Find the GCF of [formula], [formula], and [formula].

Example 3 easy

Find the GCF of [formula] and [formula].

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