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which is the greatest common divisor of 72, 81 and 180?
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Answer:
Find the prime factorization of 72
72 = 2 × 2 × 2 × 3 × 3
Find the prime factorization of 180
180 = 2 × 2 × 3 × 3 × 5
To find the gcf, multiply all the prime factors common to both numbers:
Therefore, GCF = 2 × 2 × 3 × 3
GCF = 36
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Factors of 72 :-
2×2×2×3×3
Factors of 81 :-
3×3×3×3
Factors of 180 :-
2×2×3×3×5
greatest common factor:-3×3 = 9
Let check :-
72÷9= 8
81 ÷9= 9
180 ÷9= 20
checked
so your answer is greatest common factor =9
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