HCF the 24 and also 32 is the largest possible number that divides 24 and also 32 exactly without any remainder. The determinants of 24 and also 32 are 1, 2, 3, 4, 6, 8, 12, 24 and 1, 2, 4, 8, 16, 32 respectively. There room 3 frequently used techniques to discover the HCF of 24 and 32 - lengthy division, Euclidean algorithm, and also prime factorization.

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1. | HCF that 24 and also 32 |

2. | List that Methods |

3. | Solved Examples |

4. | FAQs |

**Answer:** HCF of 24 and 32 is 8.

**Explanation: **

The HCF of two non-zero integers, x(24) and y(32), is the highest possible positive essence m(8) that divides both x(24) and y(32) without any remainder.

Let's look at the different methods because that finding the HCF that 24 and also 32.

Prime administrate MethodLong department MethodListing typical Factors### HCF the 24 and also 32 by element Factorization

Prime factorization of 24 and 32 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 2 × 2) respectively. Together visible, 24 and also 32 have common prime factors. Hence, the HCF of 24 and 32 is 2 × 2 × 2 = 8.

### HCF that 24 and also 32 by lengthy Division

HCF that 24 and also 32 is the divisor that we get when the remainder i do not care 0 ~ doing long division repeatedly.

**Step 2:**because the remainder ≠ 0, we will divide the divisor of step 1 (24) by the remainder (8).

**Step 3:**Repeat this process until the remainder = 0.

The corresponding divisor (8) is the HCF of 24 and also 32.

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### HCF the 24 and 32 by Listing usual Factors

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

**Factors the 32:**1, 2, 4, 8, 16, 32

There room 4 usual factors of 24 and also 32, that space 8, 1, 2, and also 4. Therefore, the highest usual factor the 24 and also 32 is 8.