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Find the GCF of3090210

User Brary
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Given the numbers:

30, 90, and 210

To find the Greatest Common Factors of the numbers, find the factors of each number,

Factors of 30 = 1, 2, 3, 5, 6, 10, 15, 30

Factors of 90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Factors of 210 = 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The common factors of the three numbers are: The common factors are factors which can be found in the factors of all three numbers above.

They are:

1, 2, 3, 5, 6, 10, 15, and 30

From the numbers above, the Greatest Common Factor is 30

ANSWER:

30

Method 2:

To use the method of prime factors to find The GCF.

First find the prime factors of each number.

Prime factor of 30 = 2 x 3 x 5

Prime factors of 90 = 2 x 3 x 3 x 5

Prime factors of 210 = 2 x 3 x 5

Now the common prime factors are:

2, 3, and 5.

Now multiply the common prime factors to find the GCF:


2\text{ }*\text{ 3}*\text{ 5 = 30}

Therefore, the GCF of 30, 90, and 210 is 30

ANSWER:

30

User David Read
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