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The greatest common factor of [tex]35y^4, 14y^4[/tex], and [tex]63y^4[/tex] is [tex]7y^4[/tex].
To find the greatest common factor of these numbers, you need to factor each one. The prime factorization of [tex]35y^4[/tex] is [tex]7y^4 x 5y^0[/tex], prime factorization of [tex]14y^4[/tex] is [tex]7y^4 x 2y^0[/tex] , and the prime factorization of [tex]63y^4[/tex] is [tex]7y^4 x 9y^0[/tex]. As you can see, the prime factor [tex]7y^4[/tex] is common between all three numbers and is therefore the greatest common factor.
The greatest common factor of [tex]6a^8a^2[/tex] and 14 is [tex]2a^2[/tex]. To find the greatest common factor of these numbers, you need to factor each one. The prime factorization of [tex]6a^8a^2[/tex] is [tex]2a^2 x 3a^0\\[/tex] and the prime factorization of 14 is[tex]2a^2 x 7a^0[/tex]. As you can see, the prime factor [tex]2a^2[/tex] is common between both numbers and is therefore the greatest common factor.
The greatest common factor of 2 and 4 is 2. To find the greatest common factor of these numbers, you need to factor each one. The prime factorization of 2 is 2 and the prime factorization of 4 is 2 x 2. As you can see, the prime factor 2 is common between both numbers and is therefore the greatest common factor.
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