Greatest Common Factor of 8463 and 8470

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 8463, 8470 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8463 and 8470 is 7.

GCF(8463,8470) = 7

GCF of 8463 and 8470

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

GCF of:
and

Greatest Common Factor of 8463 and 8470

GCF of 8463 and 8470 is 7

Prime Factorization of 8463


3 8463
7 2821
13 403
31 31
1

Prime factors of 8463 are 3,7,13,31. Prime factorization of 8463 in exponential form is:

8463 = 31×71×131×311

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

∴ So by taking common prime factors GCF of 8463 and 8470 is 7

Greatest Common Factor of 8463 and 8470 by matching factors method

Factors of 8463

List of positive integer factors of 8463 that divides 8463 without a remainder.

1,3,7,13,21,31,39,91,93,217,273,403,651,1209,2821,8463

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

Greatest Common Factor

We found the factors and prime factorization of 8463 and 8470. The biggest common factor number is the GCF number.
So the greatest common factor 8463 and 8470 is 7.

Also check out the Least Common Multiple of 8463 and 8470

Properties of GCF 8463 and 8470

(i) The GCF of 8463 and 8470 is associative

GCF of 8463 and 8470 = GCF of 8470 and 8463

Related Greatest Common Factor of 8463

Related Greatest Common Factor of 8470

Frequently Asked Questions on GCF of 8463 and 8470

1. What is the GCF of 8463 and 8470?

Answer: GCF of 8463 and 8470 is 7.

2. What are the Factors of 8463?

Answer: Factors of 8463 are 1, 3, 7, 13, 21, 31, 39, 91, 93, 217, 273, 403, 651, 1209, 2821, 8463. There are 16 integers that are factors of 8463. The greatest factor of 8463 is 8463.

3. 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.

4. How to Find the GCF of 8463 and 8470?

Answer:

Greatest Common Factor of 8463 and 8470 = 7

Step 1: Find the prime factorization of 8463

8463 = 3 x 7 x 13 x 31

Step 2: Find the prime factorization of 8470

8470 = 2 x 5 x 7 x 11 x 11

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

GCF = 7

Step 4: Therefore, the greatest common factor of 8463 and 8470 is 7