How to Find the GCF of Two Numbers: Steps and Examples
FAQs on Greatest Common Factor (GCF) Worksheet for Grade 6: 2 Numbers (2–50)
1. What is the greatest common factor (GCF) in Grade 6 Maths?
The greatest common factor (GCF) is the largest number that can divide two or more numbers without leaving a remainder. For Grade 6 students, it is a fundamental concept in the chapter on factors and divisibility. For example, the GCF of 12 and 18 is 6, as 6 is the largest number that divides both 12 and 18 evenly.
2. How do you find the GCF of two numbers?
You can find the GCF of two numbers using a few simple methods, with the listing factors method being the most common for Grade 6.
Here are the steps to find the GCF:
- List all factors for the first number.
- List all factors for the second number.
- Identify all the common factors from both lists.
- The largest of these common factors is the GCF.
3. What is the GCF of 18 and 24?
The greatest common factor (GCF) of 18 and 24 is 6. To find this, we list the factors for each number and identify the largest one they share.
- Factors of 18 are: 1, 2, 3, 6, 9, 18.
- Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
4. Can I find the GCF using prime factorization?
Yes, using prime factorization is another excellent method to find the GCF, which is often taught in Grade 6. This method is especially useful for larger numbers.
- Find the prime factors of each number (e.g., 20 = 2 × 2 × 5).
- Identify the common prime factors present in both factorizations.
- Multiply these common prime factors together to get the GCF.
5. What is the difference between GCF and LCM?
The main difference is that GCF (Greatest Common Factor) is the largest number that divides into both numbers, while LCM (Least Common Multiple) is the smallest number that both numbers divide into.
- GCF is about factors (divisors). For example, the GCF of 10 and 15 is 5.
- LCM is about multiples. For example, the LCM of 10 and 15 is 30.
6. How can this GCF worksheet for Class 6 help me?
This GCF worksheet for Class 6 is designed to help you master finding the greatest common factor for numbers between 2 and 50. Regular practice with these GCF problems will build your skills in:
- Factoring and divisibility rules.
- Improving calculation speed and accuracy for exams.
- Building a strong foundation for more advanced topics like simplifying fractions.
- Providing targeted revision with a variety of GCF examples.
7. Is this GCF worksheet printable and does it have an answer key?
Yes, this Grade 6 maths worksheet is a printable GCF worksheet available in a user-friendly PDF format. It also includes a complete GCF answer key, which is perfect for students to check their answers and for parents to help with homework and revision.
8. What types of problems are in this GCF worksheet?
This factoring practice worksheet includes different types of GCF problems to ensure a thorough understanding of the concept for numbers up to 50. The activities typically include:
- Finding the GCF of given number pairs (e.g., GCF of 36 & 48).
- Fill-in-the-blank questions.
- Matching pairs of numbers to their correct GCF.
9. Why does this worksheet focus on numbers between 2 and 50?
The focus on numbers between 2 and 50 is intentional for a Grade 6 maths curriculum. This range allows students to master the method of listing factors without getting overwhelmed by complex calculations. It builds confidence in the core concept of finding GCF before they advance to using prime factorization for larger numbers.
10. What is the GCF of two prime numbers?
The greatest common factor (GCF) of any two prime numbers is always 1. This is because a prime number has only two factors: 1 and itself. Since the only factor they have in common is 1, their GCF must be 1. For example, the GCF of prime numbers 11 and 23 is 1.
