Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 16, 30 i.e. 2 largest integer by which both the numbers can be divided.

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Greatest common factor (GCF) of 16 and 30 is **2**.

GCF(16,30) = 2

**Prime Factorization of 16**

2 | 16 |

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 16 are 2. Prime factorization of **16** in exponential form is:

16 = 24**Prime Factorization of 30**

2 | 30 |

3 | 15 |

5 | 5 |

1 |

Prime factors of 30 are 2.Prime factorization of **30** in exponential form is:

30 = 21×31×51∴ So by taking common prime factors GCF of 16 and 30 is 2**Factors of 16**

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

**Factors of 30**

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30**Greatest Common Factor**

We found the factors and prime factorization of 16 and 30. The biggest common factor number is the **GCF** number. So the **greatest common factor 16 and 30** is **2**.

Also check out the Least Common Multiple of 16 and 30

1. What is the GCF of 16 and 30?

Answer: GCF of 16 and 30 is 2.

2. What are the Factors of 16?

Answer: Factors of 16 are 1, 2, 4, 8, 16. There are 5 integers that are factors of 16. The greatest factor of 16 is 16.

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3. What are the Factors of 30?

Answer: Factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30. There are 8 integers that are factors of 30. The greatest factor of 30 is 30.

4. How to Find the GCF of 16 and 30?

Answer:

Greatest Common Factor of 16 and 30 = 2

Step 1: Find the prime factorization of 16

16 = 2 x 2 x 2 x 2

Step 2: Find the prime factorization of 30

30 = 2 x 3 x 5

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

GCF = 2

Step 4: Therefore, the greatest common factor of 16 and 30 is 2

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