Finding Greatest Common Factor Worksheet Page 10

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Answer Key
Name:
Finding Greatest Common Factor
Determine the greatest common factor (GCF) of each set of numbers.
A n s w e r s
12 , 16
To find the GCF of 12 & 16, first write down the factors of each number.
12
1.
1
,
2
,
3
,
4
,
6
,
12
Factors of 12
3
1
2
4
8
16
,
,
,
,
2.
Factors of 16
2 & 4 are factors both 12 and 16 have in common, with 4 being the greatest. So 4 is the GCF.
6
3.
10
1) 36 , 24
4.
1
2
3
4
6
9
12
18
36
Factors of 36
,
,
,
,
,
,
,
,
6
1
2
3
4
6
8
12
24
Factors of 24
,
,
,
,
,
,
,
5.
2) 12 , 27
2
6.
1
2
3
4
6
12
Factors of 12
,
,
,
,
,
6
1
3
9
27
Factors of 27
,
,
,
7.
3) 6 , 24
6
8.
1
2
3
6
Factors of 6
,
,
,
1
2
3
4
6
8
12
24
Factors of 24
,
,
,
,
,
,
,
3
9.
4) 30 , 20
1
2
3
5
6
10
15
30
Factors of 30
,
,
,
,
,
,
,
1
2
4
5
10
20
Factors of 20
,
,
,
,
,
5) 30 , 18
1
2
3
5
6
10
15
30
Factors of 30
,
,
,
,
,
,
,
1
2
3
6
9
18
Factors of 18
,
,
,
,
,
6) 6 , 22
1
2
3
6
Factors of 6
,
,
,
1
2
11
22
Factors of 22
,
,
,
7) 42 , 18
1
2
3
6
7
14
21
42
Factors of 42
,
,
,
,
,
,
,
1
2
3
6
9
18
Factors of 18
,
,
,
,
,
8) 12 , 30
1
2
3
4
6
12
Factors of 12
,
,
,
,
,
1
2
3
5
6
10
15
30
Factors of 30
,
,
,
,
,
,
,
9) 3 , 21
1
3
Factors of 3
,
1
3
7
21
Factors of 21
,
,
,
1-9
89 78 67 56 44 33 22 11 0
5
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