what is the gcf of 28 and 42?

4
6
14
28

Question

what is the gcf of 28 and 42?

4
6
14
28

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Prime Factorization" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Prime Factorization" ] } ## Find the prime factorization of each number $$ \begin{aligned} 28 &= 2^2 \times 7 = 2 \times 2 \times 7 \ 42 &= 2 \times 3 \times 7 \end{aligned} $$ ## Identify the common prime factors $$ \text{Common factors} = 2 \times 7 $$ ## Calculate the greatest common factor $$ \text{GCF} = 2 \times 7 = 14 $$

(A) 4

(B) 6

(C) 14

(D) 28

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "Greatest Common Factor" ] }

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QUESTION IMAGE

Question

Explanation:

Find the prime factorization of each number

Identify the common prime factors

Calculate the greatest common factor

Answer: