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Find the $\text{gcf}$ of $60$ and $126$ .

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Square roots of perfect squares

Full solution

Q. Find the

\text{gcf}

of

60

and

126

.

List Prime Factors: List the prime factors of each number. $\newline$ For $60$ , the prime factors are $2$ , $2$ , $3$ , and $5$ (since $60 = 2 \times 2 \times 3 \times 5$ ). $\newline$ For $126$ , the prime factors are $2$ , $3$ , $3$ , and $2$ $0$ (since $2$ $1$ ).
Identify Common Factors: Identify the common prime factors. $\newline$ The common prime factors of $60$ and $126$ are $2$ and $3$ .
Find GCF: Multiply the common prime factors to find the GCF. $\newline$ The GCF is $2 \times 3 = 6$ .

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