what is the greatest common factor (GCF) of 63 and 42 plz help need my grades up ​

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what is the greatest common factor (GCF) of 63 and 42 plz help need my grades up ​

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Calantha 5 years 2021-07-30T22:55:17+00:00 1 Answers 37 views 0

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  1. thachthao
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    2021-07-30T22:56:58+00:00
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    Answer:

    21

    Step-by-step explanation:

    How to find the GCF of 42 and 63?

    We will first find the prime factorization of 42 and 63. After we will calculate the factors of 42 and 63 and find the biggest common factor number .

    Step-1: Prime Factorization of 42

    Prime factors of 42 are 2, 3, 7. Prime factorization of 42 in exponential form is:

    42 = 21 × 31 × 71

    Step-2: Prime Factorization of 63

    Prime factors of 63 are 3, 7. Prime factorization of 63 in exponential form is:

    63 = 32 × 71

    Step-3: Factors of 42

    List of positive integer factors of 42 that divides 42 without a remainder.

    1, 2, 3, 6, 7, 14, 21

    Step-4: Factors of 63

    List of positive integer factors of 63 that divides 42 without a remainder.

    1, 3, 7, 9, 21

    Final Step: Biggest Common Factor Number

    We found the factors and prime factorization of 42 and 63. The biggest common factor number is the GCF number.

    So the greatest common factor 42 and 63 is 21.

    Hope this helped 🙂

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