Q:

Find the GCF of each pair of numbers.9. 40 and 4810. 30 and 4511. 10 and 4512. 25 and 9014. 28 and 7013. 21 and 4015. 60 and 7216: 45 and 8118. 55 and 7717, 28 and 32

Accepted Solution

A:
Find the GCF of each pair of numbers.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.[tex]\textit{\textbf{Spymore}}[/tex]