Find the gcf of each pair of numbers.
9. 40 and 48
10. 30 and 45
11. 10 and 45
12. 25 and 90
14. 28 and 70
13. 21 and 40
15. 60 and 72
16: 45 and 81
18. 55 and 77
17, 28 and 32

Answer 9: 40 and 48 = (2³ x 5) and (2⁴ x 3) = 2³ = 8✔️

Answer 10: 30 and 45 = (2 x 3 x 5) and (3² x 5) = 3 x 5 = 15✔️

Answer 11: 10 and 45 = (2 x 5) and (3² x 5) = 5✔️

Answer 12: 25 and 90 = (5 x 5) and (2² x 3 x 5) = 5✔️

Answer 14: 28 and 70 = (2² x 7) and (2 x 5 x 7) = 2 x 7 = 14✔️

Answer 13: 21 and 40 = (3 x 7) and (2³ x 5) = 1✔️

Answer 15: 60 and 72 = (2² x 3 x 5) and (2³ x 3²) = 2² x 3 = 12✔️

Answer 16: 45 and 81 = (3² x 5) and (3⁴) = 3² = 9✔️

Answer 18: 55 and 77 = (5 x 11) and (7 x 11) = 11✔️

Answer 17: 28 and 32 = (2² x 7) and (2⁵) = 2² = 4✔️

Step-by-step explanation: First, find the prime factorizations of the two numbers. Then, find the common factors raised to the smallest exponent and multiply each other. If there are no common prime factors, the GCF is 1.



if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!