Best Answer

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

More answers

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

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

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

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

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

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

2 x 2 x 3 = 12

2 x 2 x 2 x 2 x 3 = 48

2 x 2 x 3 = 12, the GCF

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

The LCM is 192.

The GCF is 16.

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

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45 Divide by three. 15,3 Divide by three. 5,3,3 Stop.

All composite numbers can be expressed as unique products of prime numbers. This is accomplished by dividing the original number and its factors by prime numbers until all the factors are prime. A factor tree can help you visualize this. Example: 210 210 Divide by two. 105,2 Divide by three. 35,3,2 Divide by five. 7,5,3,2 Stop. All the factors are prime. 2 x 3 x 5 x 7 = 210 That's the prime factorization of 210.

44 Divide by two. 22,2 Divide by two. 11,2,2 Stop. 2 x 2 x 11 = 44

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