6 is a common factor of 36 and 48, but it is not the greatest. You found one valid group size but did not check whether a larger group size also works for both numbers.
Factors and Multiples
Top 5 mistakes
Ranked by how often they appear across 46 MOE-aligned practice questions in our archive.
9 is a factor of 36 (36 ÷ 9 = 4), but it is not a factor of 48 (48 ÷ 9 = 5 remainder 3). Always check that the number divides evenly into BOTH totals before choosing it as a common factor.
24 is a factor of 48 (48 ÷ 24 = 2), but it is not a factor of 36 (36 ÷ 24 = 1 remainder 12). Always check that the number divides evenly into BOTH totals before choosing it as a common factor.
12 is a multiple of 4 (12÷4=3 ✓) but it IS also a factor of 48 (48÷12=4 ✓). Both conditions must hold — it must be a multiple of 4 AND not a factor of 48. 12 fails the second condition.
16 is a multiple of 4 (16÷4=4 ✓) but it IS also a factor of 48 (48÷16=3 ✓). 16 fails the second condition.
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