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It is not possible to give a sensible answer to this question. The greatest common factor (GCF) refers to a factor that is COMMON to two or more numbers. You have only one expression in the question: 25a^2 - 100 is NOT two expressions.
You need at least two terms to find a GCF.
The GCF is 25
The GCF is 6.
The GCF is 9.
The GCF is 4.
The GCF is 30.
50
The GCF is a^2.
The GCF is 5a.The GCF is 5a.
The GCF is: 1
The GCF is 27.
The GCF is 1.
The GCF is 2.
The GCF is 3.