<p>In [<CitationRef CitationID="CR1">1</CitationRef>], the authors introduce the concept of square-difference factor absorbing ideals of a commutative ring <i>R</i> with nonzero identity. An ideal <i>I</i> of <i>R</i> is a square-difference factor absorbing ideal (sdf-absorbing) of <i>R</i> if whenever <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(a^{2}-b^{2}\in I\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msup> <mi>a</mi> <mn>2</mn> </msup> <mo>-</mo> <msup> <mi>b</mi> <mn>2</mn> </msup> <mo>∈</mo> <mi>I</mi> </mrow> </math></EquationSource> </InlineEquation> for <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(0\ne a,b\in R,\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0</mn> <mo>≠</mo> <mi>a</mi> <mo>,</mo> <mi>b</mi> <mo>∈</mo> <mi>R</mi> <mo>,</mo> </mrow> </math></EquationSource> </InlineEquation> then <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(a+b\in I\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>a</mi> <mo>+</mo> <mi>b</mi> <mo>∈</mo> <mi>I</mi> </mrow> </math></EquationSource> </InlineEquation> or <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(a-b\in I\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>a</mi> <mo>-</mo> <mi>b</mi> <mo>∈</mo> <mi>I</mi> </mrow> </math></EquationSource> </InlineEquation>. In this paper, we completely characterize square-difference factor absorbing ideals in terms of their minimal prime ideals. We also give necessary and sufficient conditions on a commutative ring <i>R</i> so that all (nonzero) ideals of <i>R</i> are square-difference factor absorbing.</p>