Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 48, 8 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 48 and 8 is **8**.

GCF(48,8) = 8

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

- Greatest Common Factor of 48 and 8 by prime factorization method
- Greatest Common Factor of 48 and 8 by matching factors method

**Prime Factorization of 48**

2 | 48 |

2 | 24 |

2 | 12 |

2 | 6 |

3 | 3 |

1 |

Prime factors of 48 are 2,3. Prime factorization of **48** in exponential form is:

48 = 2^{4}×3^{1}

**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}

∴ So by taking common prime factors GCF of 48 and 8 is 8

**Factors of 48**

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

1,2,3,4,6,8,12,16,24,48

**Factors of 8**

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

1,2,4,8

**Greatest Common Factor**

We found the factors and prime factorization of 48 and 8. The biggest common factor number is the **GCF** number.

So the **greatest common factor 48 and 8** is **8**.

Also check out the Least Common Multiple of 48 and 8

(i) The GCF of 48 and 8 is associative

GCF of 48 and 8 = GCF of 8 and 48

1. What is the GCF of 48 and 8?

Answer: GCF of 48 and 8 is 8.

2. What are the Factors of 48?

Answer: Factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. There are 10 integers that are factors of 48. The greatest factor of 48 is 48.

3. 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.

4. How to Find the GCF of 48 and 8?

Answer:

Greatest Common Factor of 48 and 8 = 8

Step 1: Find the prime factorization of 48

48 = 2 x 2 x 2 x 2 x 3

Step 2: Find the prime factorization of 8

8 = 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 48 and 8 is 8