What is the GCF and the LCM of 45 and 75 using prime factorization?

Answer 1

3 x 5 x 5 = 75

3 x 5 x 7 = 105

The LCM is: 525

Answer 2

2 x 2 x 2 x 3 x 3 = 72

3 x 5 x 7 = 105

2 x 2 x 2 x 3 x 3 x 5 x 7 = 2520, the LCM

Answer 3

3 x 3 x 5 = 45

3 x 5 x 5 = 75

3 x 5 = 15, the GCF

3 x 3 x 5 x 5 = 225, the LCM

Answer 4

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Answer 5

3 x 5 x 5 = 75

3 x 5 x 7 = 105

3 x 5 x 5 x 7 = 525, the LCM

Answer 6

3 x 5 x 5 = 75

2 x 2 x 5 x 5 = 100

2 x 2 x 3 x 5 x 5 = 300, the LCM

Answer 7

The prime factors of 45 are 3 * 3 * 5.

The prime factors of 75 are 3 * 5 * 5.

So the greatest common factor is 3 * 5 = 15.

Answer 8

The GCF is 15.

Answer 9

It is 525