Question

(i) 3 is the factor of 39 and 102
(ii) 4 is the factor of 100 and 36
(iii) 5 is the factor of 65 and 250
(iv) 6 is the factor of 240 and 360
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Answer 1

Step-by-step explanation:

1. The Greatest Common Factor (GCF) for 102 and 39, notation CGF(102,39), is 3. Explanation: The factors of 102 are 1,2,3,6,17,34,51,102; The factors of 39 are 1,3,13,39.
2. The common factors of 36 and 100 are 4, 2, 1, intersecting the two sets above. In the intersection factors of 36 ∩ factors of 100 the greatest element is 4. Therefore, the greatest common factor of 36 and 100 is 4.
3. The GCF of 65 and 250 is 5
4. The GCF of 240 and 360 is 120.