Greatest Common Factor Math Example 3

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

Example 3

easy
Find the GCF of 6060 and 4545.

Solution

  1. 1
    60=22×3×560 = 2^2 \times 3 \times 5 and 45=32×545 = 3^2 \times 5.
  2. 2
    Common primes: 31×51=153^1 \times 5^1 = 15.

Answer

1515
The GCF captures the largest factor shared by both numbers. Use it to simplify 4560=34\frac{45}{60} = \frac{3}{4}.

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 4 easy

A teacher has ribbons of lengths [formula] cm and [formula] cm. She wants to cut them into the longe

← All Greatest Common Factor Examples Greatest Common Factor Concept