Greatest Common Factor of 8470 and 8476

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, 8476 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8470 and 8476 is 2.

GCF(8470,8476) = 2

GCF of 8470 and 8476

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

GCF of:
and

Greatest Common Factor of 8470 and 8476

GCF of 8470 and 8476 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 8476


2 8476
2 4238
13 2119
163 163
1

Prime factors of 8476 are 2,13,163. Prime factorization of 8476 in exponential form is:

8476 = 22×131×1631

∴ So by taking common prime factors GCF of 8470 and 8476 is 2

Greatest Common Factor of 8470 and 8476 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 8476

List of positive integer factors of 8476 that divides 8476 without a remainder.

1,2,4,13,26,52,163,326,652,2119,4238,8476

Greatest Common Factor

We found the factors and prime factorization of 8470 and 8476. The biggest common factor number is the GCF number.
So the greatest common factor 8470 and 8476 is 2.

Also check out the Least Common Multiple of 8470 and 8476

Properties of GCF 8470 and 8476

(i) The GCF of 8470 and 8476 is associative

GCF of 8470 and 8476 = GCF of 8476 and 8470

Related Greatest Common Factor of 8470

Related Greatest Common Factor of 8476

Frequently Asked Questions on GCF of 8470 and 8476

1. What is the GCF of 8470 and 8476?

Answer: GCF of 8470 and 8476 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 8476?

Answer: Factors of 8476 are 1, 2, 4, 13, 26, 52, 163, 326, 652, 2119, 4238, 8476. There are 12 integers that are factors of 8476. The greatest factor of 8476 is 8476.

4. How to Find the GCF of 8470 and 8476?

Answer:

Greatest Common Factor of 8470 and 8476 = 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 8476

8476 = 2 x 2 x 13 x 163

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 8476 is 2