Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 720, 721 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 720 and 721 is **1**.

GCF(720,721) = 1

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

- Greatest Common Factor of 720 and 721 by prime factorization method
- Greatest Common Factor of 720 and 721 by matching factors method

**Prime Factorization of 720**

2 | 720 |

2 | 360 |

2 | 180 |

2 | 90 |

3 | 45 |

3 | 15 |

5 | 5 |

1 |

Prime factors of 720 are 2,3,5. Prime factorization of **720** in exponential form is:

720 = 2^{4}×3^{2}×5^{1}

**Prime Factorization of 721**

7 | 721 |

103 | 103 |

1 |

Prime factors of 721 are 7,103. Prime factorization of **721** in exponential form is:

721 = 7^{1}×103^{1}

∴ So by taking common prime factors GCF of 720 and 721 is 1

**Factors of 720**

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

**Factors of 721**

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

**Greatest Common Factor**

We found the factors and prime factorization of 720 and 721. The biggest common factor number is the **GCF** number.

So the **greatest common factor 720 and 721** is **1**.

Also check out the Least Common Multiple of 720 and 721

(i) The GCF of 720 and 721 is associative

GCF of 720 and 721 = GCF of 721 and 720

1. What is the GCF of 720 and 721?

Answer: GCF of 720 and 721 is 1.

2. What are the Factors of 720?

Answer: Factors of 720 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720. There are 30 integers that are factors of 720. The greatest factor of 720 is 720.

3. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

4. How to Find the GCF of 720 and 721?

Answer:

Greatest Common Factor of 720 and 721 = 1

Step 1: Find the prime factorization of 720

720 = 2 x 2 x 2 x 2 x 3 x 3 x 5

Step 2: Find the prime factorization of 721

721 = 7 x 103

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 720 and 721 is 1