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```COMMON FACTORS
Factor:
2 numbers multiplied together to produce another number
(EX: 6 x 2 = 12)
6 & 2 are the factors of 12
Common
Factors:
Factors that are the same for 2 or MORE numbers
Multiple:
The products of one factor (times tables)
(EX: 3X’s table: 3, 6, 9, 12, 15, 18, 21, 24, 27 )
GREATEST COMMON the GREATEST (largest) number (factor) for both numbers
FACTOR: (GCF)
Least Common SMALLEST positive number that is a multiple of two or more numbers
Multiple: (LCM)
PRIME
FRACTOR:
a whole number that is greater than 1 and only has 2 factors 1 & itself
Here are the first 10 prime numbers 2 3 5 7 11 13 17 19 23 29
These numbers can only be divided by 1 or itself
HOW TO FIND COMMON FACTORS OF 2 NUMBERS
12:
What are the factors
of both 12 & 40
1, 2, 3, 4, 12
40:
1, 2, 4, 5, 8, 10, 20, 40
1,
2, 4,
STEPS:
*List the factors of the first number
*List the factors of the second number
*List the COMMON factors that are in
BOTH lists
SO……the COMMON FACTORS of 12 & 40 are:
1,2,4
FACTOR TREES (SHORT CUT)
TO FIND PRIME FACTOR:
FACTOR TREES TO FIND GCF & LCM:
60
6
2 ● 3
●
45
10
9
2 ● 5
3●3
60 = 2 ● 2 ● 3 ● 5
NONE of these numbers
can be divided by anything
by 1 or itself
20
●
5
5
●
4
2●2
GCF: 5
LCM: 180
45
3
3
common
20
5
2
2
GREATEST COMMON FACTOR: (GCF)
REMEMBER:
the GREATEST (largest) number (factor)
for both numbers
Factors are the numbers multiplied together to get another number
STEPS:
24:
What is the GCF
of both 24 & 60
1, 2, 3, 4, 6, 8, 12, 24
60:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 *List the factors of the second number
1, 2, 3, 4, 6, 12
*List the factors of the first number
*List the COMMON factors that are in
BOTH lists
*ID the LARGEST common numbers
SO……the GREATEST COMMON FACTOR of 24 & 60 :
Is 12
```