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The greatest common multiple of any set of integers is infinite.

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  • the greatest common FACTOR (the greatest number which divides into 14 and 21 without remainder): gcf(14, 21) = 7;
  • the LOWEST common multiple (the smallest number which is a positive multiple of both 14 and 21): lcm(14, 21) = 42
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6y ago
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11y ago

To find the greatest common factor (gcf, for short), first factorize 21 and 14.

14 = 2 x 7

21 = 3 x 7

Since 1 and 7 are the only common factors of both 14 and 21, we call 7 the greatest common factor.

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11y ago

7 is the greatest common factor of 14 and 21

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12y ago

The greatest common multiple is astronomical and irrelevant. The greatest common factor is 3. The least common multiple is 105.

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11y ago

The greatest common multiple is an infinite amount and not very practical. The LCM is 42. The GCF is 7.

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6y ago

Any multiple of 42.

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11y ago

The GCF is 7.

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Q: What is the greatest common multiple of 14 and 21?
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