GCF the 12 and also 24 is the largest possible number the divides 12 and 24 precisely without any remainder. The determinants of 12 and 24 room 1, 2, 3, 4, 6, 12 and 1, 2, 3, 4, 6, 8, 12, 24 respectively. There room 3 typically used methods to discover the GCF of 12 and 24 - Euclidean algorithm, long division, and also prime factorization.

You are watching: Common factors of 12 and 24

1. | GCF the 12 and also 24 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** GCF that 12 and 24 is 12.

**Explanation: **

The GCF of 2 non-zero integers, x(12) and also y(24), is the biggest positive creature m(12) that divides both x(12) and also y(24) without any type of remainder.

The methods to find the GCF the 12 and 24 are defined below.

Long department MethodPrime administrate MethodListing typical Factors### GCF that 12 and also 24 by long Division

GCF of 12 and 24 is the divisor that we gain when the remainder i do not care 0 ~ doing long department repeatedly.

**Step 2:**since the remainder = 0, the divisor (12) is the GCF the 12 and also 24.

The corresponding divisor (12) is the GCF of 12 and also 24.

### GCF of 12 and also 24 by prime Factorization

Prime factorization of 12 and 24 is (2 × 2 × 3) and also (2 × 2 × 2 × 3) respectively. Together visible, 12 and also 24 have typical prime factors. Hence, the GCF that 12 and also 24 is 2 × 2 × 3 = 12.

### GCF that 12 and 24 by Listing typical Factors

**Factors that 12:**1, 2, 3, 4, 6, 12

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

There room 6 usual factors that 12 and also 24, that room 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor the 12 and 24 is 12.

**☛ likewise Check:**

## GCF the 12 and 24 Examples

**Example 1: discover the GCF that 12 and 24, if their LCM is 24. **

**Solution: **

∵ LCM × GCF = 12 × 24⇒ GCF(12, 24) = (12 × 24)/24 = 12Therefore, the greatest usual factor of 12 and 24 is 12.

**Example 2: For 2 numbers, GCF = 12 and LCM = 24. If one number is 12, discover the various other number.**

**Solution:**

Given: GCF (z, 12) = 12 and LCM (z, 12) = 24∵ GCF × LCM = 12 × (z)⇒ z = (GCF × LCM)/12⇒ z = (12 × 24)/12⇒ z = 24Therefore, the other number is 24.

**Example 3: The product of 2 numbers is 288. If your GCF is 12, what is your LCM? **

**Solution:**

Given: GCF = 12 and also product of numbers = 288∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 288/12Therefore, the LCM is 24.

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## FAQs top top GCF the 12 and also 24

### What is the GCF the 12 and 24?

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

### What is the Relation between LCM and also GCF of 12, 24?

The adhering to equation can be supplied to express the relation between LCM (Least usual Multiple) and also GCF that 12 and 24, i.e. GCF × LCM = 12 × 24.

### If the GCF that 24 and also 12 is 12, discover its LCM.

GCF(24, 12) × LCM(24, 12) = 24 × 12Since the GCF the 24 and 12 = 12⇒ 12 × LCM(24, 12) = 288Therefore, LCM = 24☛ GCF Calculator

### What are the approaches to uncover GCF that 12 and 24?

There space three commonly used methods to uncover the **GCF of 12 and also 24**.

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### How to uncover the GCF that 12 and 24 by Long division Method?

To find the GCF that 12, 24 making use of long division method, 24 is divided by 12. The matching divisor (12) as soon as remainder equals 0 is taken as GCF.

### How to discover the GCF that 12 and 24 by prime Factorization?

To uncover the GCF the 12 and also 24, we will discover the prime factorization that the given numbers, i.e. 12 = 2 × 2 × 3; 24 = 2 × 2 × 2 × 3.⇒ due to the fact that 2, 2, 3 are typical terms in the element factorization of 12 and also 24. Hence, GCF(12, 24) = 2 × 2 × 3 = 12☛ What space Prime Numbers?