Greatest Common Factor of 8484 and 8492

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, 8492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8484 and 8492 is 4.

GCF(8484,8492) = 4

GCF of 8484 and 8492

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

GCF of:
and

Greatest Common Factor of 8484 and 8492

GCF of 8484 and 8492 is 4

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 8492


2 8492
2 4246
11 2123
193 193
1

Prime factors of 8492 are 2,11,193. Prime factorization of 8492 in exponential form is:

8492 = 22×111×1931

∴ So by taking common prime factors GCF of 8484 and 8492 is 4

Greatest Common Factor of 8484 and 8492 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 8492

List of positive integer factors of 8492 that divides 8492 without a remainder.

1,2,4,11,22,44,193,386,772,2123,4246,8492

Greatest Common Factor

We found the factors and prime factorization of 8484 and 8492. The biggest common factor number is the GCF number.
So the greatest common factor 8484 and 8492 is 4.

Also check out the Least Common Multiple of 8484 and 8492

Properties of GCF 8484 and 8492

(i) The GCF of 8484 and 8492 is associative

GCF of 8484 and 8492 = GCF of 8492 and 8484

Related Greatest Common Factor of 8484

Related Greatest Common Factor of 8492

Frequently Asked Questions on GCF of 8484 and 8492

1. What is the GCF of 8484 and 8492?

Answer: GCF of 8484 and 8492 is 4.

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 8492?

Answer: Factors of 8492 are 1, 2, 4, 11, 22, 44, 193, 386, 772, 2123, 4246, 8492. There are 12 integers that are factors of 8492. The greatest factor of 8492 is 8492.

4. How to Find the GCF of 8484 and 8492?

Answer:

Greatest Common Factor of 8484 and 8492 = 4

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 8492

8492 = 2 x 2 x 11 x 193

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8484 and 8492 is 4