Greatest Common factor

Front

What is the definition of the Greatest Common Factor (GCF)?

Back

The Greatest Common Factor (GCF) of two or more integers is the largest positive integer that divides each of the integers without leaving a remainder.

Front

How do you find the GCF of two numbers using prime factorization?

Back

To find the GCF using prime factorization, first factor each number into its prime factors. Then, identify the common prime factors and multiply them together to get the GCF.

Front

What is the GCF of 12 and 15?

Back

The GCF of 12 and 15 is 3.

Front

What is the GCF of 24 and 36?

Back

The GCF of 24 and 36 is 12.

Front

How can the GCF be used in real-life applications?

Back

The GCF can be used in real-life applications such as dividing items into equal groups, simplifying fractions, and solving problems involving ratios.

Front

What is the relationship between GCF and Least Common Multiple (LCM)?

Back

The GCF and LCM of two numbers are related by the equation: GCF(a, b) × LCM(a, b) = a × b.

Front

What is the GCF of 28 and 49?

Back

The GCF of 28 and 49 is 7.

Front

How can you use the division method to find the GCF of two numbers?

Back

To use the division method, divide the larger number by the smaller number and find the remainder. Repeat the process with the smaller number and the remainder until the remainder is zero. The last non-zero remainder is the GCF.

Front

What is the GCF of 40 and 32?

Back

The GCF of 40 and 32 is 8.

Front

If Kiara baked 30 oatmeal cookies and 48 chocolate chip cookies, how many identical containers can she use to package them?

Back

Kiara can use 6 identical containers to package the cookies.