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Find the greatest common factor of 16,27 , and 20 .

Find the greatest common factor of $16$ , $27$ , and $20$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

16

,

27

, and

20

.

List Factors of $16$ : List the factors of $16$ . $16$ can be divided by $1$ , $2$ , $4$ , $8$ , and $16$ . Factors of $16$ : $1$ , $2$ , $4$ , $8$ , $16$
List Factors of $27$ : List the factors of $27$ . $27$ can be divided by $1$ , $3$ , $9$ , and $27$ . Factors of $27$ : $1$ , $3$ , $9$ , $27$
List Factors of $20$ : List the factors of $20$ . $20$ can be divided by $1$ , $2$ , $4$ , $5$ , $10$ , and $20$ . Factors of $20$ : $1$ , $2$ , $4$ , $5$ , $10$ , $20$
Identify Common Factors: Identify the common factors of $16$ , $27$ , and $20$ . The only common factor of $16$ , $27$ , and $20$ is $1$ , since there are no other numbers that are factors of all three numbers. Common factors of $16$ , $27$ , and $20$ : $1$
Determine GCF: Determine the Greatest Common Factor (GCF) of $16$ , $27$ , and $20$ . $\newline$ Since the only common factor is $1$ , the GCF of $16$ , $27$ , and $20$ is $1$ . $\newline$ GCF of $16$ , $27$ , and $20$ : $1$

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