**Created By :**
Jatin Gogia

**Reviewed By :**
Rajasekhar Valipishetty

**Last Updated :**
Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 70, 71 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 70 and 71 is **1**.

GCF(70,71) = 1

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

**Prime Factorization of 70**

2 | 70 |

5 | 35 |

7 | 7 |

1 |

Prime factors of 70 are 2,5,7. Prime factorization of **70** in exponential form is:

70 = 2^{1}×5^{1}×7^{1}

**Prime Factorization of 71**

71 | 71 |

1 |

Prime factors of 71 are 71. Prime factorization of **71** in exponential form is:

71 = 71^{1}

∴ So by taking common prime factors GCF of 70 and 71 is 1

**Factors of 70**

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

**Factors of 71**

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

**Greatest Common Factor**

We found the factors and prime factorization of 70 and 71. The biggest common factor number is the **GCF** number.

So the **greatest common factor 70 and 71** is **1**.

Also check out the Least Common Multiple of 70 and 71

(i) The GCF of 70 and 71 is associative

GCF of 70 and 71 = GCF of 71 and 70

1. What is the GCF of 70 and 71?

Answer: GCF of 70 and 71 is 1.

2. What are the Factors of 70?

Answer: Factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70. There are 8 integers that are factors of 70. The greatest factor of 70 is 70.

3. What are the Factors of 71?

Answer: Factors of 71 are 1, 71. There are 2 integers that are factors of 71. The greatest factor of 71 is 71.

4. How to Find the GCF of 70 and 71?

Answer:

Greatest Common Factor of 70 and 71 = 1

Step 1: Find the prime factorization of 70

70 = 2 x 5 x 7

Step 2: Find the prime factorization of 71

71 = 71

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 70 and 71 is 1