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In Mathematics / Middle School | 2014-09-04

What are the possible values of \( m \) if 14 is the greatest common factor (GCF) of \( m \) and 210?

Asked by cg123

Answer (2)

GCF(14; M) = 210
210|2 105|5 21|3 7|7 1|
210 = 14 × 3 × 5
The possible values of M: 14 × 1 = 14 14 × 2 = 28 14 × 4 = 56 14 × 7 = 98 14 × 8 = 112 14 × 11 = 154 14 × 13 = 182 .
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Answered by Anonymous | 2024-06-10

The possible values of m such that the GCF of m and 210 is 14 are multiples of 14 that do not introduce new prime factors. These values include 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, and 182. Each of these values shares only 2 and 7 as factors with 210, maintaining 14 as the GCF.
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Answered by Anonymous | 2025-06-13

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