Greatest Common Factor of 8484 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 8484, 8491 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8484 and 8491 is 7.

GCF(8484,8491) = 7

GCF of 8484 and 8491

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

GCF of:
and

Greatest Common Factor of 8484 and 8491

GCF of 8484 and 8491 is 7

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 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 8484 and 8491 is 7

Greatest Common Factor of 8484 and 8491 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 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 8484 and 8491. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8491 is 7.

Also check out the Least Common Multiple of 8484 and 8491

Properties of GCF 8484 and 8491

(i) The GCF of 8484 and 8491 is associative

GCF of 8484 and 8491 = GCF of 8491 and 8484

Related Greatest Common Factor of 8484

Related Greatest Common Factor of 8491

Frequently Asked Questions on GCF of 8484 and 8491

1. What is the GCF of 8484 and 8491?

Answer: GCF of 8484 and 8491 is 7.

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 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 8484 and 8491?

Answer:

Greatest Common Factor of 8484 and 8491 = 7

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 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 = 7

Step 4: Therefore, the greatest common factor of 8484 and 8491 is 7