Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 32, 48 i.e. 16 the largest number that divides both the numbers exactly.

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Greatest Common Factor of 32 and 48 is 16

GCF(32, 48) = 16

**Ex:** number 1 - 1500 and number 2 - 20.

Given Inputs are 32, 48

To find the GCF using the Prime Factorization Method you just need to list out the prime factors of both the numbers.

**Prime Factorization of 32 as under**

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**Prime Factorization of 48 is as such**

2 | 48 |

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 48 are 2.Prime factorization of **48** in exponential form is:

48 = 24×31Occurrences of Common Prime Factors from both the numbers 32 and 48 is 16Therefore, GCF of two numbers 32 and 48 is 16

GCF of 32, 48 using Factoring Method

Given input data is 32, 48

Make a list of factors for the corresponding input numbers

**Factors of 32**

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

1,2,4,8,16,32

**Factors of 48**

List of positive essence factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 16

Therefore, GCF of two numbers 32 ad 48 is 16

Related Greatest Common Factor of 32

Related Greatest Common Factor of 48

Frequently Asked Questions on GCF of 32 and 48

1. What is the GCF of numbers 32 and 48?

GCF of numbers 32 and 48 is 16.

**2. How to find GCF of 32 and 48 easily?**

Take the help of GCF Calculator existing and input the numbers 32, 48 in the input field provided and tap on the Calculate Button to avail the Greatest Common Factor with detailed steps.

See more: What Does 188 Mean On Jewelry ? What Does 188 Mean On Jewelry

**3. Where do I find an elaborate explanation on finding GCF of 32, 48?**

You can find an elaborate explanation on finding GCF of 32, 48 on our page.

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