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The GCF of 45 and 80 is 5.
Prime factors:
45 = 5x3x3
80 = 5x2x2x2x2
the only prime factor in both is 5, and so the highest common factor is 5.
Alternative method:
80 mod 45 = 35
45 mod 35 = 10
35 mod 10 = 5
10 mod 5 = 0
so HCF = 5.
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