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Mathematics
Rey Thomas
Today, 10:04
Find the greatest common factor of 30a4 and 35a5
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1
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Darren Mendez
Today, 12:28
0
5a^4
Step-by-step explanation:
Find the GCF of the coefficients, 30 and 35, and find the GCF of the variable parts, a^4 and a^5. The GCF of the monomials is the product of those two GCFs.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
Factors of 35: 1, 5, 7, 35
The greatest common factor of 30 and 35 is 5 (shown in bold).
a^4 = a * a * a * a
a^5 = a * a * a * a * a
The greatest common factor of a^4 and a^5 is a^4 (shown in bold).
Answer: 5a^4
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