Common Factors

Front

What are common factors?

Back

Common factors are numbers that divide two or more numbers without leaving a remainder.

Front

How do you find the common factors of two numbers?

Back

To find the common factors of two numbers, list all the factors of each number and identify the factors that appear in both lists.

Front

What is the Greatest Common Factor (GCF)?

Back

The Greatest Common Factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.

Front

How can you determine the GCF of two numbers using prime factorization?

Back

To determine the GCF using prime factorization, factor both numbers into their prime factors, then multiply the lowest powers of all common prime factors.

Front

What is the GCF of 12 and 15?

Back

The GCF of 12 and 15 is 3.

Front

List the factors of 24.

Back

The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.

Front

What is the GCF of 18 and 24?

Back

The GCF of 18 and 24 is 6.

Front

How do you find the GCF of three numbers?

Back

To find the GCF of three numbers, find the GCF of the first two numbers, then find the GCF of that result with the third number.

Front

What is the GCF of 28, 42, and 70?

Back

The GCF of 28, 42, and 70 is 14.

Front

Explain the relationship between GCF and LCM (Least Common Multiple).

Back

The GCF and LCM of two numbers are related by the equation: GCF × LCM = Product of the two numbers.