35- 1, 5, 35
45- 1, 3, 5, 15, 45
the greatest common factor between them is 5
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Why the selective factorisation? 7 divides 35, 9 divides 45?
The factors of 45 are 1, 3, 5, 9, 14, and 45.
The factors of 35 are 1, 5, 7, and 35.
The greatest common factor of 35 and 45 is 5.
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The GCF is 5.
The GCF is 35.
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.
The GCF is 7.
The GCF of 45 and 50 is 5.The GCF is 5.