Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 8, 16 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8 and 16 is **8**.

GCF(8,16) = 8

*Greatest common factor* or Greatest common divisor (GCD) can be calculated in following way;

- Greatest Common Factor of 8 and 16 by prime factorization method
- Greatest Common Factor of 8 and 16 by matching factors method

**Prime Factorization of 8**

2 | 8 |

2 | 4 |

2 | 2 |

1 |

Prime factors of 8 are 2. Prime factorization of **8** in exponential form is:

8 = 2^{3}

**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 = 2^{4}

∴ So by taking common prime factors GCF of 8 and 16 is 8

**Factors of 8**

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

**Factors of 16**

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

1,2,4,8,16

**Greatest Common Factor**

We found the factors and prime factorization of 8 and 16. The biggest common factor number is the **GCF** number.

So the **greatest common factor 8 and 16** is **8**.

Also check out the Least Common Multiple of 8 and 16

(i) The GCF of 8 and 16 is associative

GCF of 8 and 16 = GCF of 16 and 8

1. What is the GCF of 8 and 16?

Answer: GCF of 8 and 16 is 8.

2. What are the Factors of 8?

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

3. 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.

4. How to Find the GCF of 8 and 16?

Answer:

Greatest Common Factor of 8 and 16 = 8

Step 1: Find the prime factorization of 8

8 = 2 x 2 x 2

Step 2: Find the prime factorization of 16

16 = 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 8 and 16 is 8