Question

find the gcf for the set of numbers.
30 and 54

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find the gcf for the set of numbers.
22, 44, and 11

Explanation:

Step1: Factorize 30 and 54

$30 = 2 \times 3 \times 5$
$54 = 2 \times 3^3$

Step2: Identify common prime factors

Common factors: $2, 3$

Step3: Calculate GCF of 30 and 54

$\text{GCF}(30,54) = 2 \times 3 = 6$

Step4: Factorize 22, 44, 11

$22 = 2 \times 11$
$44 = 2^2 \times 11$
$11 = 11$

Step5: Identify common prime factors

Common factor: $11$

Step6: Calculate GCF of the three numbers

$\text{GCF}(22,44,11) = 11$

Answer:

1. 6
2. 11