Greatest Common Factor

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest positive integer that divides two or more numbers without leaving a remainder.

Front

How do you find the GCF of two numbers?

Back

To find the GCF, list the factors of each number and identify the largest factor that they have in common.

Front

GCF of 12 and 28?

Back

4

Front

GCF of 50 and 100?

Back

50

Front

GCF of 15 and 36?

Back

3

Front

GCF of 16 and 18?

Back

2

Front

GCF of 32 and 40?

Back

8

Front

What is a factor?

Back

A factor is a whole number that can be divided evenly into another number.

Front

What is the relationship between GCF and prime factorization?

Back

The GCF can be found by multiplying the lowest powers of all prime factors common to the numbers.

Front

Why is finding the GCF important?

Back

Finding the GCF is important for simplifying fractions, solving problems involving ratios, and finding common denominators.