Find the GCF of the numbers using prime factorizations. 4, 10
5, 11
6,8
14, 42
45, 63
60, 90
My sister is in sixth grade and is struggling

GCF = 1

Step-by-step explanation:

for the values 4, 5, 6, 8, 10, 11, 14, 42, 45, 60, 63, 90

Solution by Factorization:

The factors of 4 are: 1, 2, 4

The factors of 5 are: 1, 5

The factors of 6 are: 1, 2, 3, 6

The factors of 8 are: 1, 2, 4, 8

The factors of 10 are: 1, 2, 5, 10

The factors of 11 are: 1, 11

The factors of 14 are: 1, 2, 7, 14

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 45 are: 1, 3, 5, 9, 15, 45

The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

The factors of 63 are: 1, 3, 7, 9, 21, 63

The factors of 90 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Then the greatest common factor is 1.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47