Greatest Common Factor of 6482 and 6490

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 6482, 6490 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6482 and 6490 is 2.

GCF(6482,6490) = 2

GCF of 6482 and 6490

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

GCF of:
and

Greatest Common Factor of 6482 and 6490

GCF of 6482 and 6490 is 2

Prime Factorization of 6482


2 6482
7 3241
463 463
1

Prime factors of 6482 are 2,7,463. Prime factorization of 6482 in exponential form is:

6482 = 21×71×4631

Prime Factorization of 6490


2 6490
5 3245
11 649
59 59
1

Prime factors of 6490 are 2,5,11,59. Prime factorization of 6490 in exponential form is:

6490 = 21×51×111×591

∴ So by taking common prime factors GCF of 6482 and 6490 is 2

Greatest Common Factor of 6482 and 6490 by matching factors method

Factors of 6482

List of positive integer factors of 6482 that divides 6482 without a remainder.

1,2,7,14,463,926,3241,6482

Factors of 6490

List of positive integer factors of 6490 that divides 6490 without a remainder.

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Greatest Common Factor

We found the factors and prime factorization of 6482 and 6490. The biggest common factor number is the GCF number.
So the greatest common factor 6482 and 6490 is 2.

Also check out the Least Common Multiple of 6482 and 6490

Properties of GCF 6482 and 6490

(i) The GCF of 6482 and 6490 is associative

GCF of 6482 and 6490 = GCF of 6490 and 6482

Frequently Asked Questions on GCF of 6482 and 6490

1. What is the GCF of 6482 and 6490?

Answer: GCF of 6482 and 6490 is 2.

2. What are the Factors of 6482?

Answer: Factors of 6482 are 1, 2, 7, 14, 463, 926, 3241, 6482. There are 8 integers that are factors of 6482. The greatest factor of 6482 is 6482.

3. What are the Factors of 6490?

Answer: Factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490. There are 16 integers that are factors of 6490. The greatest factor of 6490 is 6490.

4. How to Find the GCF of 6482 and 6490?

Answer:

Greatest Common Factor of 6482 and 6490 = 2

Step 1: Find the prime factorization of 6482

6482 = 2 x 7 x 463

Step 2: Find the prime factorization of 6490

6490 = 2 x 5 x 11 x 59

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 6482 and 6490 is 2