find the gcf of $44j^5k^4$ and $121j^2k^6$.

1. find the gcf of 44 and 121.
2. find the gcf of $j^5$ and $j^2$.
3. find the gcf of $k^4$ and $k^6$.

what is the gcf of $44j^5k^4$ and $121j^2k^6$?
- $4j^3k^2$
- $4j^2k^4$
- $11j^3k^2$
- $11j^2k^4$

Question

find the gcf of $44j^5k^4$ and $121j^2k^6$.

1. find the gcf of 44 and 121.
2. find the gcf of $j^5$ and $j^2$.
3. find the gcf of $k^4$ and $k^6$.

what is the gcf of $44j^5k^4$ and $121j^2k^6$?
- $4j^3k^2$
- $4j^2k^4$
- $11j^3k^2$
- $11j^2k^4$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Greatest Common Factor", "Greatest Common Factor of Monomials" ], "new_concepts": [], "current_concepts": [ "Greatest Common Factor", "Greatest Common Factor of Monomials" ] } ## Find the GCF of the numerical coefficients Using the *Greatest Common Factor* knowledge point $$ \begin{aligned} &44 = 2^2 \times 11\ &121 = 11^2\ &\text{GCF}(44, 121) = 11 \end{aligned} $$ ## Find the GCF of the variable parts Using the *Greatest Common Factor of Monomials* knowledge point $$ \begin{aligned} &\text{GCF}(j^5, j^2) = j^{\min(5, 2)} = j^2\ &\text{GCF}(k^4, k^6) = k^{\min(4, 6)} = k^4 \end{aligned} $$ ## Combine the GCF components Using the *Greatest Common Factor of Monomials* knowledge point $$ \text{GCF}(44j^5k^4, 121j^2k^6) = 11 \times j^2 \times k^4 = 11j^2k^4 $$

(A) $4j^3k^2$

(B) $4j^2k^4$

(C) $11j^3k^2$

(D) $11j^2k^4$

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

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QUESTION IMAGE

Question

Explanation:

Find the GCF of the numerical coefficients

Find the GCF of the variable parts

Combine the GCF components

Answer: