Question
The greatest common factor (GCF) between 28v^7 y^6 and 16x^8 v^2 y^4
Answers
Answered by
GPT 3.5
To find the greatest common factor (GCF) between 28v^7 y^6 and 16x^8 v^2 y^4, we need to identify the common factors of both expressions and take the smallest power of each common factor.
Prime factors of 28: 2, 2, 7
Prime factors of 16: 2, 2, 2, 2
Common factors: 2^2 = 4
Common factors of v:
Power of v in the first expression: 7
Power of v in the second expression: 2
Common factor of v: v^2
Common factors of y:
Power of y in the first expression: 6
Power of y in the second expression: 4
Common factor of y: y^4
Therefore, the greatest common factor (GCF) between 28v^7 y^6 and 16x^8 v^2 y^4 is 4v^2 y^4.
Prime factors of 28: 2, 2, 7
Prime factors of 16: 2, 2, 2, 2
Common factors: 2^2 = 4
Common factors of v:
Power of v in the first expression: 7
Power of v in the second expression: 2
Common factor of v: v^2
Common factors of y:
Power of y in the first expression: 6
Power of y in the second expression: 4
Common factor of y: y^4
Therefore, the greatest common factor (GCF) between 28v^7 y^6 and 16x^8 v^2 y^4 is 4v^2 y^4.
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