Download Greatest Common Factor Get Columns Full

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Greatest Common
Factor
Columns
Get
Full
we will use the GCFto simplify fractions
Example 1:
1.
find the greatest common factor (GCF) of 36 and 48
find the prime factorizations of 36 and 48
36  2  2  3  3
48  2  2  2  2  3
2. line up columns of matching numbers
48 36 2
2
2
2
2 2
3
3 3
line up columns of matching numbers
from your prime factorizations
___________________
2 2
2  2  3  12
3
bring down the numbers of columns that
are FULL and multiply them together!
Your greatest
GCF = 12
common factor (GCF) is 12
Example 2:
1.
find the greatest common factor (GCF) of 42 and 70
find the prime factorizations of 36 and 48
70  2  5  7
42  2  3  7
2. line up columns of matching numbers
42 70 2
2
3
7
7
line up columns of matching numbers
from your prime factorizations
5
___________________
2
bring down the numbers of columns that
7
2  7  14
are FULL and multiply them together!
Your greatest
common factor (GCF) is 14
GCF = 14
Find the Greatest Common Factor (GCF) of 28 and 56:
GCF = _____