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# Algebra I: Greatest Common Factor Quiz

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### What is a prime number?

A number that has no factors other than one and itself.

### What is the Greatest Common Factor (GCF)?

The largest whole number that will divide a group of whole numbers without remainders.

2

### What is the prime factorization of 210?

<p>2 X 3 X 5 X 7</p> Signup and view all the answers

### What is the GCF of 170 and 210?

<p>10</p> Signup and view all the answers

### What is the GCF of 25 · 5 · 11 and 23 · 5 · 7?

<p>5</p> Signup and view all the answers

### What is the GCF of 48 and 60?

<p>12</p> Signup and view all the answers

### What is the GCF of the literal terms m7n4p3 and mn12p5?

<p>m1n4p3</p> Signup and view all the answers

### What is the GCF of the literal terms xxyyyzz and xxxxzzz?

<p>x2z2</p> Signup and view all the answers

### What are the exponents for the variables of the GCF of the monomials 9x2y2 and 5x2y3?

<p>x2y2</p> Signup and view all the answers

### What is the GCF of the monomials -50m4n7 and 40m2n10?

<p>10m2n7</p> Signup and view all the answers

### What is the GCF of -10c2d and 15cd2?

<p>5cd</p> Signup and view all the answers

### What is the GCF of 38m and 57n?

<p>19</p> Signup and view all the answers

### What is the GCF of the polynomial 8x6y5 - 3x8y3?

<p>x6y3</p> Signup and view all the answers

### What is the GCF of the polynomial 16a4b4 + 32a3b5 - 48a2b6?

<p>16a2b4</p> Signup and view all the answers

## Study Notes

### Prime Numbers

• Defined as numbers that have no divisors other than one and themselves.

### Greatest Common Factor (GCF)

• The GCF is the largest whole number that divides a set of whole numbers without leaving a remainder.

### GCF Examples

• GCF of 56 and 46 is 2.
• GCF of 170 and 210 is 10.

### Prime Factorization

• The prime factorization of 210 is expressed as 2 × 3 × 5 × 7.

### GCF of Literal Terms

• GCF of m7n4p3 and mn12p5 is m1n4p3.
• GCF of xxyyyzz and xxxxzzz is x2z2.
• GCF of 9x2y2 and 5x2y3 is represented with exponents as x2y2.

### GCF of Monomials

• For -50m4n7 and 40m2n10, the GCF is 10m2n7.
• For -10c2d and 15cd2, the GCF is 5cd.
• GCF of 38m and 57n is 19.

### GCF of Polynomials

• GCF of the polynomial 8x6y5 - 3x8y3 is x6y3.
• GCF of the polynomial 16a4b4 + 32a3b5 - 48a2b6 is 16a2b4.

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## Description

Test your knowledge of fundamental algebra concepts related to the Greatest Common Factor (GCF) and prime numbers with this interactive flashcard quiz. Learn essential definitions and practice finding the GCF of various numbers while enhancing your algebra skills.

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