# Greatest Common Factor of 70 and 71

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

## GCF of 70 and 71

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

GCF of:
and ### GCF of 70 and 71 is 1

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 = 21×51×71

Prime Factorization of 71

 71 71 1

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

71 = 711

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

### Greatest Common Factor of 70 and 71 by matching factors method

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

### Properties of GCF 70 and 71

(i) The GCF of 70 and 71 is associative

GCF of 70 and 71 = GCF of 71 and 70

### Frequently Asked Questions on GCF of 70 and 71

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?

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