Greatest Common Factor of 8470 and 8474

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, 8474 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8470 and 8474 is 2.

GCF(8470,8474) = 2

GCF of 8470 and 8474

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

GCF of:
and

Greatest Common Factor of 8470 and 8474

GCF of 8470 and 8474 is 2

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 8474


2 8474
19 4237
223 223
1

Prime factors of 8474 are 2,19,223. Prime factorization of 8474 in exponential form is:

8474 = 21×191×2231

∴ So by taking common prime factors GCF of 8470 and 8474 is 2

Greatest Common Factor of 8470 and 8474 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 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1,2,19,38,223,446,4237,8474

Greatest Common Factor

We found the factors and prime factorization of 8470 and 8474. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8474 is 2.

Also check out the Least Common Multiple of 8470 and 8474

Properties of GCF 8470 and 8474

(i) The GCF of 8470 and 8474 is associative

GCF of 8470 and 8474 = GCF of 8474 and 8470

Related Greatest Common Factor of 8470

Related Greatest Common Factor of 8474

Frequently Asked Questions on GCF of 8470 and 8474

1. What is the GCF of 8470 and 8474?

Answer: GCF of 8470 and 8474 is 2.

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 8474?

Answer: Factors of 8474 are 1, 2, 19, 38, 223, 446, 4237, 8474. There are 8 integers that are factors of 8474. The greatest factor of 8474 is 8474.

4. How to Find the GCF of 8470 and 8474?

Answer:

Greatest Common Factor of 8470 and 8474 = 2

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 8474

8474 = 2 x 19 x 223

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8470 and 8474 is 2