Algebra GCF and Prime Factorization

In a classroom of 30 students, if every student is given a packet of 14 markers and a packet of 16 pencils, find the GCF and LCM of the total number of markers and pencils to be distributed.

• GCF: 2, LCM: 3,360

• GCF: 14, LCM: 240

• GCF: 2, LCM: 6,720

• GCF: 2, LCM: 112

Find pair of numbers whose GCF is 10 and LCM is 50.

• 20 and 25

• 10 and 20

• 10 and 25

• 10 and 50

Find pair of numbers whose GCF is 7 and LCM is 84.

• 7 and 84

• 7 and 12

• 7 and 21

• 7 and 14

Find the prime factorization of 81

• 2² • 7

• 2³ • 5 • 7

• 4³

• 3⁴

The exponent on z of the GCF is ​ ​ (a)  

• 5

• 6

• 7

• 8

• 9

• 10

• 1

• 2

• 3

• 4

The coefficient of the GCF is (a)  

• 2

• 3

• 4

• 5

• 6

• 7

• 8

• 9

• 10

• 1

The exponent on z of the GCF is ​ ​ ​ ​ (a)  

• 5

• 6

• 7

• 8

• 9

• 10

• 1

• 3

• 4

• 2

The exponent on x of the GCF is ​ (a)  

• 3

• 5

• 6

• 7

• 8

• 9

• 10

• 1

• 2

• 4

The coefficient of the GCF is ​ (a)  

• 3

• 4

• 5

• 6

• 7

• 8

• 9

• 10

• 1

• 2

The exponent on y of the GCF is ​ ​ ​ (a)  

• 5

• 6

• 7

• 8

• 9

• 10

• 1

• 2

• 3

• 4