Greatest Common Factor of 8484 and 8490

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 8484, 8490 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8484 and 8490 is 6.

GCF(8484,8490) = 6

GCF of 8484 and 8490

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

GCF of:
and

Greatest Common Factor of 8484 and 8490

GCF of 8484 and 8490 is 6

Prime Factorization of 8484


2 8484
2 4242
3 2121
7 707
101 101
1

Prime factors of 8484 are 2,3,7,101. Prime factorization of 8484 in exponential form is:

8484 = 22×31×71×1011

Prime Factorization of 8490


2 8490
3 4245
5 1415
283 283
1

Prime factors of 8490 are 2,3,5,283. Prime factorization of 8490 in exponential form is:

8490 = 21×31×51×2831

∴ So by taking common prime factors GCF of 8484 and 8490 is 6

Greatest Common Factor of 8484 and 8490 by matching factors method

Factors of 8484

List of positive integer factors of 8484 that divides 8484 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,101,202,303,404,606,707,1212,1414,2121,2828,4242,8484

Factors of 8490

List of positive integer factors of 8490 that divides 8490 without a remainder.

1,2,3,5,6,10,15,30,283,566,849,1415,1698,2830,4245,8490

Greatest Common Factor

We found the factors and prime factorization of 8484 and 8490. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8490 is 6.

Also check out the Least Common Multiple of 8484 and 8490

Properties of GCF 8484 and 8490

(i) The GCF of 8484 and 8490 is associative

GCF of 8484 and 8490 = GCF of 8490 and 8484

Related Greatest Common Factor of 8484

Related Greatest Common Factor of 8490

Frequently Asked Questions on GCF of 8484 and 8490

1. What is the GCF of 8484 and 8490?

Answer: GCF of 8484 and 8490 is 6.

2. What are the Factors of 8484?

Answer: Factors of 8484 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 101, 202, 303, 404, 606, 707, 1212, 1414, 2121, 2828, 4242, 8484. There are 24 integers that are factors of 8484. The greatest factor of 8484 is 8484.

3. What are the Factors of 8490?

Answer: Factors of 8490 are 1, 2, 3, 5, 6, 10, 15, 30, 283, 566, 849, 1415, 1698, 2830, 4245, 8490. There are 16 integers that are factors of 8490. The greatest factor of 8490 is 8490.

4. How to Find the GCF of 8484 and 8490?

Answer:

Greatest Common Factor of 8484 and 8490 = 6

Step 1: Find the prime factorization of 8484

8484 = 2 x 2 x 3 x 7 x 101

Step 2: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8484 and 8490 is 6