GCF Calculator

The Greatest Common Factor(GCF) is also known as the following :

• Greatest common factor (GCF)
• Greatest common denominator (GCD)
• Highest common factor (HCF)
• Greatest common divisor (GCD)

GCF / GCD of two or more integers, when at least one of them is not zero, is the largest positive integer that is a divisor of both(or all of the) numbers. It is the greatest number you can multiply to get all the numbers.

• Do you want to split things into smaller sections?
• Are you trying to figure out how many people we can invite?
• Are you trying to arrange something in rows or groups?

e.g. Brittany is making identical balloon arrangements for a party. She has 32 maroon balloons, 24 white balloons, and 16 orange balloons. She wants each arrangement to have the same number of each color. What is the greatest number of arrangements that she can make if every balloon is used?

The easiest way is listing out all the factors of each of the given numbers. Once you list all the factors the GCF is the largest number common to each list.

This is somewhat similar to the Factoring method, except this time you list all the prime factors of each number and get the common prime factors of the original numbers. Include the highest number of occurrences of each prime factor that is common to each original number. If you multiply all the resulting number you should get the GCF.