Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 24, 32 i.e. 8 largest integer by which both the numbers can be divided.

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Greatest common factor (GCF) of 24 and 32 is **8**.

GCF(24,32) = 8

**Prime Factorization of 24**

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 24 are 2,3. Prime factorization of **24** in exponential form is:

24 = 23×31**Prime Factorization of 32**

2 | 32 |

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 32 are 2. Prime factorization of **32** in exponential form is:

32 = 25∴ So by taking common prime factors GCF of 24 and 32 is 8**Factors of 24**

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

**Factors of 32**

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32**Greatest Common Factor**

We found the factors and prime factorization of 24 and 32. The biggest common factor number is the **GCF** number. So the **greatest common factor 24 and 32** is **8**.

Also check out the Least Common Multiple of 24 and 32

1. What is the GCF of 24 and 32?

Answer: GCF of 24 and 32 is 8.

2. What are the Factors of 24?

Answer: Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24. There are 8 integers that are factors of 24. The greatest factor of 24 is 24.

See more: Why 5 Is Negative 5 A Rational Number S Review (Article), Is Negative 5 A Rational Number

3. What are the Factors of 32?

Answer: Factors of 32 are 1, 2, 4, 8, 16, 32. There are 6 integers that are factors of 32. The greatest factor of 32 is 32.

4. How to Find the GCF of 24 and 32?

Answer:

Greatest Common Factor of 24 and 32 = 8

Step 1: Find the prime factorization of 24

24 = 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 32

32 = 2 x 2 x 2 x 2 x 2

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 24 and 32 is 8

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