For which pair of number is the greatest common factor 6
To find the pair of numbers for which the greatest common factor is 6, we need to find two numbers that have factors in common, and the largest of those common factors should be 6.
One way to approach this is by listing the factors of various numbers and finding a pair that has 6 as their greatest common factor:
1 : Factors = {1} (no common factor with 6)
2 : Factors = {1, 2} (no common factor with 6)
3 : Factors = {1, 3} (no common factor with 6)
4 : Factors = {1, 2, 4} (no common factor with 6)
5 : Factors = {1, 5} (no common factor with 6)
6 : Factors = {1, 2, 3, 6} (6 is the greatest common factor with itself)
7 : Factors = {1, 7} (no common factor with 6)
8 : Factors = {1, 2, 4, 8} (no common factor with 6)
9 : Factors = {1, 3, 9} (3 is the greatest common factor with 9)
10: Factors = {1, 2, 5, 10} (no common factor with 6)
11: Factors = {1, 11} (no common factor with 6)
12: Factors = {1, 2, 3, 4, 6, 12} (6 is the greatest common factor with 12)
Based on this list, we can see that the pair of numbers with the greatest common factor of 6 is (6, 12).