GCF that 24 and 48 is the largest possible number that divides 24 and 48 exactly without any type of remainder. The components of 24 and 48 room 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There space 3 typically used techniques to discover the GCF the 24 and 48 - lengthy division, Euclidean algorithm, and prime factorization.

You are watching: What is the gcf of 24

1. | GCF the 24 and 48 |

2. | List the Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF that 24 and also 48 is 24.

**Explanation: **

The GCF of two non-zero integers, x(24) and also y(48), is the biggest positive creature m(24) the divides both x(24) and also y(48) without any type of remainder.

The approaches to find the GCF of 24 and 48 are described below.

Prime administer MethodListing common FactorsLong department Method### GCF of 24 and 48 by prime Factorization

Prime factorization of 24 and 48 is (2 × 2 × 2 × 3) and also (2 × 2 × 2 × 2 × 3) respectively. Together visible, 24 and also 48 have usual prime factors. Hence, the GCF the 24 and 48 is 2 × 2 × 2 × 3 = 24.

### GCF the 24 and also 48 through Listing usual Factors

**Factors the 24:**1, 2, 3, 4, 6, 8, 12, 24

**Factors the 48:**1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 8 usual factors that 24 and also 48, that are 1, 2, 3, 4, 6, 8, 12, and also 24. Therefore, the greatest typical factor the 24 and 48 is 24.

### GCF that 24 and also 48 by long Division

GCF the 24 and also 48 is the divisor that we acquire when the remainder i do not care 0 ~ doing long department repeatedly.

**Step 2:**because the remainder = 0, the divisor (24) is the GCF of 24 and also 48.

The matching divisor (24) is the GCF the 24 and also 48.

**☛ also Check:**

## GCF the 24 and 48 Examples

**Example 1: The product of 2 numbers is 1152. If their GCF is 24, what is their LCM? **

**Solution:**

Given: GCF = 24 and also product of number = 1152∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1152/24Therefore, the LCM is 48.

**Example 2: find the best number that divides 24 and also 48 exactly. **

**Solution: **

The greatest number that divides 24 and 48 exactly is your greatest usual factor, i.e. GCF that 24 and also 48.⇒ determinants of 24 and 48:

Factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors the 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48Therefore, the GCF that 24 and 48 is 24.

**Example 3: find the GCF that 24 and also 48, if your LCM is 48. **

**Solution: **

∵ LCM × GCF = 24 × 48⇒ GCF(24, 48) = (24 × 48)/48 = 24Therefore, the greatest common factor that 24 and also 48 is 24.

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## FAQs ~ above GCF that 24 and also 48

### What is the GCF the 24 and also 48?

The **GCF that 24 and also 48 is 24**. To calculate the greatest usual factor (GCF) the 24 and 48, we need to aspect each number (factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24; factors of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and choose the greatest aspect that precisely divides both 24 and 48, i.e., 24.

### What space the approaches to uncover GCF the 24 and 48?

There are three frequently used methods to uncover the **GCF that 24 and 48**.

### How to discover the GCF the 24 and 48 by Long division Method?

To discover the GCF the 24, 48 making use of long division method, 48 is divided by 24. The equivalent divisor (24) when remainder equates to 0 is taken as GCF.

### What is the Relation in between LCM and GCF the 24, 48?

The adhering to equation deserve to be offered to to express the relation in between LCM and GCF that 24 and 48, i.e. GCF × LCM = 24 × 48.

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### How to discover the GCF of 24 and also 48 by element Factorization?

To discover the GCF the 24 and 48, we will discover the element factorization of the offered numbers, i.e. 24 = 2 × 2 × 2 × 3; 48 = 2 × 2 × 2 × 2 × 3.⇒ due to the fact that 2, 2, 2, 3 are common terms in the element factorization that 24 and 48. Hence, GCF(24, 48) = 2 × 2 × 2 × 3 = 24☛ element Numbers

### If the GCF that 48 and 24 is 24, find its LCM.

GCF(48, 24) × LCM(48, 24) = 48 × 24Since the GCF that 48 and 24 = 24⇒ 24 × LCM(48, 24) = 1152Therefore, LCM = 48☛ GCF Calculator