The GCF or greatest common factor is the largest positive integer that will divide into each number evenly or in other words a remainder of zero

For example, the greatest common factor of 5 and 10 would be 5.

There are several different names for the GCF ( greatest common factor)

GCD Greatest Common Denominator

HCF Highest Common Factor

GCD Greatest Common Divisor

**The GCF for 20 and 30 equals 60**

The lcm or least common multiple is the smallest positive integer that two or more numbers will divide into evenly. Again, a zero remainder.

Other names for the LCM

LCD Least Common Denominator

LCD Least Common Divisor

**The LCM of 10 and 20 equals 10**

I like to use a factor tree to find the LCM and the GCF

Once you find all of the prime factors of a number, to find the GCF you multiply all of the factors, but multiply duplicates in each number only once.

In order to calculate the LCM you look for factors in each number.

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