Kolten Conrad

2022-07-01

How can you find the greatest common factor of two numbers?

razdiralem

Beginner2022-07-02Added 15 answers

Step 1

Factor both numbers into ' factors, identify the common factors and multiply them together.

For example, find the GCF of 56 and 84 as follows:

$56=2\times 2\times 2\times 7$

$84=2\times 2\times 3\times 7$

$GCF(56,84)=2\times 2\times 7=28$

Factor both numbers into ' factors, identify the common factors and multiply them together.

For example, find the GCF of 56 and 84 as follows:

$56=2\times 2\times 2\times 7$

$84=2\times 2\times 3\times 7$

$GCF(56,84)=2\times 2\times 7=28$

Wade Bullock

Beginner2022-07-03Added 5 answers

Step 1

Given two numbers, divide the larger by the smaller to find a quotient and remainder. If the remainder is zero then the smaller number was the GCF. Otherwise, repeat with the smaller number and the remainder.

Example: find the GCF of 112 and 70:

$\frac{112}{70}=1$ with remainder 42

$\frac{70}{42}=1$ with remainder 28

$\frac{42}{28}=1$ with remainder 14

$\frac{28}{14}=2$ with remainder 0

So $GCF(112,70)=14$

Given two numbers, divide the larger by the smaller to find a quotient and remainder. If the remainder is zero then the smaller number was the GCF. Otherwise, repeat with the smaller number and the remainder.

Example: find the GCF of 112 and 70:

$\frac{112}{70}=1$ with remainder 42

$\frac{70}{42}=1$ with remainder 28

$\frac{42}{28}=1$ with remainder 14

$\frac{28}{14}=2$ with remainder 0

So $GCF(112,70)=14$

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