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What is the GCF of 24a^3 b and 36ab^2?

2ab
4a^3b
12ab
72a^3b^2

2 Answers

1 vote
12ab will be the right answer.

Since 24a^3 = 12ab(2a^2)

And 36ab^2 = 12ab(3b)
User Loushou
by
8.2k points
0 votes

Answer with explanation:

Two numbers are , 24 a³b and 36 a b².

The meaning of G C F between two number is that greatest number which divide both the number.

We will factorize , 24 a³b and 36 a b² and take out the common factors to determine their G CF.

→24 a³ b= 2×2×2×3×a×a×a×b

→36 a b²=2×2×3×3×a×b×b

G C F(Greatest common factor)=2×2×3×a×b

=12 a b

Option C

User Himayan
by
8.2k points