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timed problem score: 2/10 find the greatest common factor of 42 and 48.…

Question

timed problem
score: 2/10
find the greatest common factor of 42 and 48.
answer
6
1
2
8

Explanation:

Step1: List prime factors of 42

$42 = 2 \times 3 \times 7$

Step2: List prime factors of 48

$48 = 2^4 \times 3$

Step3: Identify shared prime factors

Shared factors: $2^1, 3^1$

Step4: Calculate product of shared factors

$\text{GCF} = 2 \times 3 = 6$

Answer:

6