Table of Contents

## What is the GCF for 24?

Solution: The greatest number that divides 24 and 36 exactly is their greatest common factor, i.e. GCF of 24 and 36. ⇒ Factors of 24 and 36: Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24.

## What are 2 ways to find a GCF?

Here’s how to find the GCF of a set of numbers using prime factorization:

- List the prime factors of each number.
- Circle every common prime factor — that is, every prime factor that’s a factor of every number in the set.
- Multiply all the circled numbers. The result is the GCF.

**What is the GCF of 1 and 2?**

What is the GCF of 1 and 2? The GCF of 1 and 2 is 1.

**What is the GCF of 18 and 24?**

6

Correct answer: 18 and 24 share one 2 and one 3 in common. We multiply them to get the GCF, so 2 * 3 = 6 is the GCF of 18 and 24.

### What is the HCF of 36 and 24?

12

Answer: HCF of 24 and 36 is 12.

### What are the 3 methods in finding GCF?

How do we find the Greatest Common Factor?

- Method 1: We write all the factors of each number, and from these we mark the common factors. The greatest factor marked will be the GCF of those numbers.
- Method 2: We break down each number into its prime factors. Then, we mark the common prime factors, including repeats.

**What is the HCF of 2 and 3?**

1

Answer: HCF of 2 and 3 is 1.

**What is the GCF of 24 32 and 48?**

As you can see when you list out the factors of each number, 8 is the greatest number that 48, 48, 24, and 32 divides into.

## What is the GCF of 24 18 and 30?

As you can see when you list out the factors of each number, 6 is the greatest number that 18, 24, and 30 divides into.

## What is the HCF of 18 and 42 24?

Common factor method First find all factors of the given numbers individually. Therefore, common factors of 18, 24 and 42 are 1, 2, 3 and 6. HCF of 18, 24 and 42 is 6.

**What is the HCF of 15 and 30?**

Answer: The HCF of 15 and 30 is 15.

**What is the HCF of 15 25 and 30?**

5

The HCF of 15, 25, and 30 is 5. ∴ The highest number that divides 15, 25, and 30 is 5.