Greatest Common Factor of 8470 and 8471

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 8470, 8471 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8470 and 8471 is 1.

GCF(8470,8471) = 1

GCF of 8470 and 8471

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

GCF of:
and

Greatest Common Factor of 8470 and 8471

GCF of 8470 and 8471 is 1

Prime Factorization of 8470


2 8470
5 4235
7 847
11 121
11 11
1

Prime factors of 8470 are 2,5,7,11. Prime factorization of 8470 in exponential form is:

8470 = 21×51×71×112

Prime Factorization of 8471


43 8471
197 197
1

Prime factors of 8471 are 43,197. Prime factorization of 8471 in exponential form is:

8471 = 431×1971

∴ So by taking common prime factors GCF of 8470 and 8471 is 1

Greatest Common Factor of 8470 and 8471 by matching factors method

Factors of 8470

List of positive integer factors of 8470 that divides 8470 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,121,154,242,385,605,770,847,1210,1694,4235,8470

Factors of 8471

List of positive integer factors of 8471 that divides 8471 without a remainder.

1,43,197,8471

Greatest Common Factor

We found the factors and prime factorization of 8470 and 8471. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8471 is 1.

Also check out the Least Common Multiple of 8470 and 8471

Properties of GCF 8470 and 8471

(i) The GCF of 8470 and 8471 is associative

GCF of 8470 and 8471 = GCF of 8471 and 8470

Related Greatest Common Factor of 8470

Related Greatest Common Factor of 8471

Frequently Asked Questions on GCF of 8470 and 8471

1. What is the GCF of 8470 and 8471?

Answer: GCF of 8470 and 8471 is 1.

2. What are the Factors of 8470?

Answer: Factors of 8470 are 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 121, 154, 242, 385, 605, 770, 847, 1210, 1694, 4235, 8470. There are 24 integers that are factors of 8470. The greatest factor of 8470 is 8470.

3. What are the Factors of 8471?

Answer: Factors of 8471 are 1, 43, 197, 8471. There are 4 integers that are factors of 8471. The greatest factor of 8471 is 8471.

4. How to Find the GCF of 8470 and 8471?

Answer:

Greatest Common Factor of 8470 and 8471 = 1

Step 1: Find the prime factorization of 8470

8470 = 2 x 5 x 7 x 11 x 11

Step 2: Find the prime factorization of 8471

8471 = 43 x 197

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 8470 and 8471 is 1