Algebra-1

To use the greatest common factor (GCF) and the distributive property to write the expression 16+32, follow these steps:

1. Find the GCF of 16 and 32.

Prime factorization of 16: 16=2⁴

Prime factorization of 32: 32=2⁵

Common factors: 2⁴

GCF: 16

2. Express each term as a multiple of the GCF.

16=16×1

32=16×2

3. Use the distributive property to factor out the GCF: 16+32=16×1+16×2=16×(1+2)

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