Greatest common factor

Front

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

Back

The 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

1. Factor each number into its prime factors. 2. Identify the common prime factors. 3. Multiply the common prime factors together to get the GCF.

Front

What is the GCF of 20 and 70?

Back

10

Front

Which of the following is NOT a factor of 9: 1, 3, 9, or 0?

Back

0 is NOT a factor of 9.

Front

What is the GCF of 24 and 56?

Back

8

Front

What is the GCF of 28 and 40?

Back

4

Front

How can you use the Euclidean algorithm to find the GCF of two numbers?

Back

1. Divide the larger number by the smaller number. 2. Take the remainder and divide it into the smaller number. 3. Repeat this process until the remainder is 0. The last non-zero remainder is the GCF.

Front

What is a factor?

Back

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

Front

Which of the following is NOT a factor of 12: 1, 2, 3, or 5?

Back

5 is NOT a factor of 12.

Front

What is the relationship between factors and multiples?

Back

Factors are numbers that divide another number evenly, while multiples are the result of multiplying a number by an integer.