The greatest common factor (GCF) of 6a^2 and 12a^5 is 6a^2.
Rewriting the expression by factoring out the GCF:
6a^2(1 + 2a^3)
How would you rewrite the expression 6a^2 + 12a^5 by factoring out the GCF?
3 answers
What is the greatest common factor of 10 x^6y^4 and 20x^7y^8?
To find the greatest common factor (GCF) of 10x^6y^4 and 20x^7y^8, we need to identify the highest power of x and y that can be factored out of each term.
The GCF of the coefficients 10 and 20 is 10.
The GCF of x^6 and x^7 is x^6 (the smallest power of x that appears in both terms).
The GCF of y^4 and y^8 is y^4 (the smallest power of y that appears in both terms).
Therefore, the GCF of 10x^6y^4 and 20x^7y^8 is 10x^6y^4.
The GCF of the coefficients 10 and 20 is 10.
The GCF of x^6 and x^7 is x^6 (the smallest power of x that appears in both terms).
The GCF of y^4 and y^8 is y^4 (the smallest power of y that appears in both terms).
Therefore, the GCF of 10x^6y^4 and 20x^7y^8 is 10x^6y^4.