🔢 GCF 📚 Grade 4-5 ⏱ 6 min
Greatest Common Factor: Simple Explanation
The GCF is the largest number that divides two other numbers evenly. Here is an explanation through equal grouping.
A common factor — what divides both numbers
The number 4 divides both 12 and 16 evenly. It is a common factor for this pair. But other common factors exist too, like 2 and 1.
💡 Anchor: imagine splitting 12 apples and 16 pears equally into baskets, with none of either fruit left over. The GCF shows the maximum number of baskets.
How to find the GCF
List all factors of each number, find the common ones, pick the largest. For 12 and 16: factors of 12 are 1,2,3,4,6,12; factors of 16 are 1,2,4,8,16. Common: 1,2,4. Greatest: 4.
FAQ
Why does the GCF matter?
It is used to simplify fractions and solve problems about equal distribution.