Find the GCF of 72 and 81. Show your work. (3 points) Part C: Using the GCF you found in Part B, rewrite 72 + 81 as two facto
rs. One factor is the GCF and the other is the sum of two numbers that do not have a common factor. Show your work. (4 points)
1 answer:
Answer: B. GCF of 72 and 81 is 9.
C. 72+81 = 9(8+9)
Step-by-step explanation:
The greatest common factor of two or more numbers is the highest number that divides all of them.
Given numbers : 72 and 81
Prime factorization of 72 and 81:
72 = 2 x 2 x 2 x 3 x 3
81= 3 x 3 x 3 x 3
GCF(72,81) = 3x 3 =9
Consider 72+81 = 9 x 8 + 9 x 9 [72= 8 x 9, 81 = 9 x 9]
= 9(8+9)
Hence, B. GCF of 72 and 81 is 9.
C. 72+81 = 9(8+9)
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