Greatest Common Factor of 8490 and 8491

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 8490, 8491 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8490 and 8491 is 1.

GCF(8490,8491) = 1

GCF of 8490 and 8491

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

GCF of:
and

Greatest Common Factor of 8490 and 8491

GCF of 8490 and 8491 is 1

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

Prime Factorization of 8491


7 8491
1213 1213
1

Prime factors of 8491 are 7,1213. Prime factorization of 8491 in exponential form is:

8491 = 71×12131

∴ So by taking common prime factors GCF of 8490 and 8491 is 1

Greatest Common Factor of 8490 and 8491 by matching factors method

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

Factors of 8491

List of positive integer factors of 8491 that divides 8491 without a remainder.

1,7,1213,8491

Greatest Common Factor

We found the factors and prime factorization of 8490 and 8491. The biggest common factor number is the GCF number.
So the greatest common factor 8490 and 8491 is 1.

Also check out the Least Common Multiple of 8490 and 8491

Properties of GCF 8490 and 8491

(i) The GCF of 8490 and 8491 is associative

GCF of 8490 and 8491 = GCF of 8491 and 8490

Frequently Asked Questions on GCF of 8490 and 8491

1. What is the GCF of 8490 and 8491?

Answer: GCF of 8490 and 8491 is 1.

2. 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.

3. What are the Factors of 8491?

Answer: Factors of 8491 are 1, 7, 1213, 8491. There are 4 integers that are factors of 8491. The greatest factor of 8491 is 8491.

4. How to Find the GCF of 8490 and 8491?

Answer:

Greatest Common Factor of 8490 and 8491 = 1

Step 1: Find the prime factorization of 8490

8490 = 2 x 3 x 5 x 283

Step 2: Find the prime factorization of 8491

8491 = 7 x 1213

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8490 and 8491 is 1