find the gcf (greatest common factor) of the following terms.

$\{21, 15, 30\}$

Question

find the gcf (greatest common factor) of the following terms.

$\{21, 15, 30\}$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Prime Factorization" ] } ## List the given terms Identify the set of numbers to analyze: $$ \{21, 15, 30\} $$ ## Find prime factorizations Using the **Greatest Common Factor** knowledge point $$ \begin{aligned} 21 &= 3 \times 7 \ 15 &= 3 \times 5 \ 30 &= 2 \times 3 \times 5 \end{aligned} $$ ## Identify common prime factors Using the **Greatest Common Factor** knowledge point $$ \begin{aligned} &\text{Common prime factor: } 3 \ &\text{GCF} = 3 \end{aligned} $$ 3 { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Greatest Common Factor" ] }

Sovi.AI - AI Math Tutor

QUESTION IMAGE

Question

Explanation:

List the given terms

Find prime factorizations

Identify common prime factors

Answer: