No.
Prime factors of 27: 3 3 3
Prime factors of 45: 3 3 5
Both have two factors of 3, so the greatest common factor is 9.
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the greatest common factor for 45 and 27 is 9.
The Greatest Common Factor (GCF) is: 1
The Greatest Common Factor of 36, 45, 54: 9
The greatest common factor of 135 and 360 is 45
The GCF is 3.