Show how you can use prime factorization and a Venn disgram to identify the GCF and LCM of 12 48 and 64?

Answer 1

2 x 2 x 3 = 12
2 x 2 x 2 x 2 x 3 = 48
2 x 2 x 2 x 2 x 2 x 2 = 64
Select the common factors.
2 x 2 = 4, the GCF
Combine the factors, eliminating duplicates.
2 x 2 x 2 x 2 x 2 x 2 x 3 = 192, the LCM

Answer 2

I could. Factor them.

2 x 2 x 3 = 12

7 x 7 = 49

3 x 3 x 7 = 63

Select the common factors. There aren't any.

The GCF is 1.

Combine the factors, eliminating duplicates.

2 x 2 x 3 x 3 x 7 x 7 = 1764, the LCM

Answer 3

2 x 2 x 2 x 2 x 2 x 2 = 64

2 x 2 x 2 x 3 x 5 = 120

Select the common factors.

2 x 2 x 2 = 8, the GCF

Combine the factors, eliminating duplicates.

2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 = 960, the LCM

Answer 4

The factors of 12 are:

1, 2, 3, 4, 6, 12

The factors of 28 are:

1, 2, 4, 7, 14, 28

The factors of 64 are:

1, 2, 4, 8, 16, 32, 64

The common factors are:

1, 2, 4

The Greatest Common Factor:

GCF = 4

Answer 5

factor each number, look at the factors, identify the highest number common to all.

Answer 6

2 x 2 x 2 x 2 x 2 = 32

2 x 2 x 2 x 2 x 3 = 48

2 x 2 x 2 x 2 = 16, the GCF

Answer 7

2 x 2 x 2 = 8

2 x 2 x 3 = 12

2 x 2 x 2 x 3 = 24

2 x 2 x 2 x 3 = 24, the LCM

Answer 8

2 x 2 x 3 = 12

2 x 2 x 2 x 2 x 3 = 48

2 x 2 x 3 = 12, the GCF

Answer 9

12 = 2 x 2 x 3

28 = 2 x 2 x 7

64 = 2 x 2 x 2 x 2 x 2 x 2

GCF = 2 x 2 = 4

Answer 10

The LCM is 192.

The GCF is 16.