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  • Find the prime factorisation of each of the two numbers.
  • Select the primes which appear in both factorisations.
  • Multiply these factors together.
The answer is the GCF.


If a prime factor appears n times in each factorisation then it must appear n times in the list of factors to be multiplied together.

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7y ago
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Wiki User

11y ago

Prime factorization.

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF.

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Wiki User

11y ago

You need at least two numbers to find a GCF. Once you have them, you can

1. Compare their lists of factors, or

2. Compare their prime factorizations.

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9y ago
Example: 30 and 42
Factor them.
2 x 3 x 5 = 30
2 x 3 x 7 = 42
Select the highest amount of each factor.
2 x 3 x 5 x 7 = 210, the LCM
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Wiki User

8y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

This answer is:
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Wiki User

7y ago

Example: 30 and 42

Factor them.

2 x 3 x 5 = 30

2 x 3 x 7 = 42

Select the common factors.

2 x 3 = 6, the GCF

This answer is:
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Wiki User

11y ago

Dividing them by prime numbers

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Q: What is the fastest and easiest way to find the LCM?
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