row 1
what is the greatest common factor of 12 and 24?
option a: 6
option b: 12

row 2
for which pair of numbers could the gcf be 8?
option a: 24 and 88
option b: 28 and 48

is 15 the gcf of 30 and 60?
option a: yes
option b: no

Question

row 1
what is the greatest common factor of 12 and 24?
option a: 6
option b: 12

row 2
for which pair of numbers could the gcf be 8?
option a: 24 and 88
option b: 28 and 48

is 15 the gcf of 30 and 60?
option a: yes
option b: no

Accepted Answer

{ "quality": "clear", "question_count": 3, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor" ] } ## Find the greatest common factor of 12 and 24 $$ \begin{aligned} &\text{Factors of } 12: 1, 2, 3, 4, 6, 12 \ &\text{Factors of } 24: 1, 2, 3, 4, 6, 8, 12, 24 \ &\text{Common Factors}: 1, 2, 3, 4, 6, 12 \ &\text{GCF}(12, 24) = 12 \end{aligned} $$ ## Determine which pair has a GCF of 8 $$ \begin{aligned} &\text{For } 24 \text{ and } 88: \ &24 = 8 \times 3 \ &88 = 8 \times 11 \ &\text{GCF}(24, 88) = 8 \ \ &\text{For } 28 \text{ and } 48: \ &28 = 4 \times 7 \ &48 = 4 \times 12 \ &\text{GCF}(28, 48) = 4 \end{aligned} $$ ## Check if 15 is the GCF of 30 and 60 $$ \begin{aligned} &30 = 30 \times 1 \ &60 = 30 \times 2 \ &\text{GCF}(30, 60) = 30 eq 15 \end{aligned} $$ ## Question 1 Option A: 6 Option B: 12 ## Question 2 Option A: 24 and 88 Option B: 28 and 48 ## Question 3 Option A: Yes

Option B: No

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

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QUESTION IMAGE

Question

Explanation:

Find the greatest common factor of 12 and 24

Determine which pair has a GCF of 8

Check if 15 is the GCF of 30 and 60

Answer:

Question 1

Question 2

Question 3