How do you find the GCF of $30 a^{2}, 50 a b^{2}$ $30a^2, 50ab^2$ ?

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Answer 1 · 2017-02-08T16:58:54

Factor each monomial and multiply all the common factors together to find the Greatest Common Factor which is $10 a$ $10a$

$30 a^{2}$ $30a^2$ can be factored into $2 \times 3 \times 5 \times a \times a$ $2 xx 3 xx 5 xx " "a xx a$

$50 a b^{2}$ $50ab^2$ can be factored into $2 \times 5 \times 5 \times a \times b \times b$ $2" " xx 5 xx 5 xx a " "xx b xx b$

The common factors are $2, 5, and a$ $2, 5, and a$ multiplying these factors together gives

$2 \times 5 \times a = 10 a$ $2 xx 5 xx a = 10a$

How do you find the GCF of 30a^2, 50ab^230a2,50ab230a^2, 50ab^2?