Precalculus Examples

$2^{5} \cdot 5 \cdot 11$ and $2^{3} \cdot 5^{2} \cdot 7$

Step 1

Raise $2$ to the power of $5$ .

$32 \cdot 5 \cdot 11 + 2^{3} \cdot 5^{2} \cdot 7$

Step 2

Multiply $32 \cdot 5 \cdot 11$ .

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Step 2.1

Multiply $32$ by $5$ .

$160 \cdot 11 + 2^{3} \cdot 5^{2} \cdot 7$

Step 2.2

Multiply $160$ by $11$ .

$1760 + 2^{3} \cdot 5^{2} \cdot 7$

Step 3

Raise $2$ to the power of $3$ .

$1760 + 8 \cdot 5^{2} \cdot 7$

Step 4

Raise $5$ to the power of $2$ .

$1760 + 8 \cdot 25 \cdot 7$

Step 5

Multiply $8 \cdot 25 \cdot 7$ .

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Step 5.1

Multiply $8$ by $25$ .

$1760 + 200 \cdot 7$

Step 5.2

Multiply $200$ by $7$ .

$1760 + 1400$

Step 6

Add $1760$ and $1400$ .

$3160$

Step 7

Since there are no common prime factors, the GCF is $1$ .

$1$