Greatest Common Factor of 8460 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 8460, 8463 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8460 and 8463 is 3.

GCF(8460,8463) = 3

GCF of 8460 and 8463

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

GCF of:
and

Greatest Common Factor of 8460 and 8463

GCF of 8460 and 8463 is 3

Prime Factorization of 8460


2 8460
2 4230
3 2115
3 705
5 235
47 47
1

Prime factors of 8460 are 2,3,5,47. Prime factorization of 8460 in exponential form is:

8460 = 22×32×51×471

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 8460 and 8463 is 3

Greatest Common Factor of 8460 and 8463 by matching factors method

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460

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 8460 and 8463. The biggest common factor number is the GCF number.
So the greatest common factor 8460 and 8463 is 3.

Also check out the Least Common Multiple of 8460 and 8463

Properties of GCF 8460 and 8463

(i) The GCF of 8460 and 8463 is associative

GCF of 8460 and 8463 = GCF of 8463 and 8460

Related Greatest Common Factor of 8460

Related Greatest Common Factor of 8463

Frequently Asked Questions on GCF of 8460 and 8463

1. What is the GCF of 8460 and 8463?

Answer: GCF of 8460 and 8463 is 3.

2. What are the Factors of 8460?

Answer: Factors of 8460 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 47, 60, 90, 94, 141, 180, 188, 235, 282, 423, 470, 564, 705, 846, 940, 1410, 1692, 2115, 2820, 4230, 8460. There are 36 integers that are factors of 8460. The greatest factor of 8460 is 8460.

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 8460 and 8463?

Answer:

Greatest Common Factor of 8460 and 8463 = 3

Step 1: Find the prime factorization of 8460

8460 = 2 x 2 x 3 x 3 x 5 x 47

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 = 3

Step 4: Therefore, the greatest common factor of 8460 and 8463 is 3