Greatest Common Factor of 8456 and 8463

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 8456, 8463 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8456 and 8463 is 7.

GCF(8456,8463) = 7

GCF of 8456 and 8463

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

GCF of:
and

Greatest Common Factor of 8456 and 8463

GCF of 8456 and 8463 is 7

Prime Factorization of 8456


2 8456
2 4228
2 2114
7 1057
151 151
1

Prime factors of 8456 are 2,7,151. Prime factorization of 8456 in exponential form is:

8456 = 23×71×1511

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

∴ So by taking common prime factors GCF of 8456 and 8463 is 7

Greatest Common Factor of 8456 and 8463 by matching factors method

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

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

Greatest Common Factor

We found the factors and prime factorization of 8456 and 8463. The biggest common factor number is the GCF number.
So the greatest common factor 8456 and 8463 is 7.

Also check out the Least Common Multiple of 8456 and 8463

Properties of GCF 8456 and 8463

(i) The GCF of 8456 and 8463 is associative

GCF of 8456 and 8463 = GCF of 8463 and 8456

Related Greatest Common Factor of 8456

Related Greatest Common Factor of 8463

Frequently Asked Questions on GCF of 8456 and 8463

1. What is the GCF of 8456 and 8463?

Answer: GCF of 8456 and 8463 is 7.

2. What are the Factors of 8456?

Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.

3. 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.

4. How to Find the GCF of 8456 and 8463?

Answer:

Greatest Common Factor of 8456 and 8463 = 7

Step 1: Find the prime factorization of 8456

8456 = 2 x 2 x 2 x 7 x 151

Step 2: Find the prime factorization of 8463

8463 = 3 x 7 x 13 x 31

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 8456 and 8463 is 7