Greatest Common Factor of 8684 and 8692

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 8684, 8692 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8684 and 8692 is 4.

GCF(8684,8692) = 4

GCF of 8684 and 8692

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

GCF of:
and

Greatest Common Factor of 8684 and 8692

GCF of 8684 and 8692 is 4

Prime Factorization of 8684


2 8684
2 4342
13 2171
167 167
1

Prime factors of 8684 are 2,13,167. Prime factorization of 8684 in exponential form is:

8684 = 22×131×1671

Prime Factorization of 8692


2 8692
2 4346
41 2173
53 53
1

Prime factors of 8692 are 2,41,53. Prime factorization of 8692 in exponential form is:

8692 = 22×411×531

∴ So by taking common prime factors GCF of 8684 and 8692 is 4

Greatest Common Factor of 8684 and 8692 by matching factors method

Factors of 8684

List of positive integer factors of 8684 that divides 8684 without a remainder.

1,2,4,13,26,52,167,334,668,2171,4342,8684

Factors of 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1,2,4,41,53,82,106,164,212,2173,4346,8692

Greatest Common Factor

We found the factors and prime factorization of 8684 and 8692. The biggest common factor number is the GCF number.
So the greatest common factor 8684 and 8692 is 4.

Also check out the Least Common Multiple of 8684 and 8692

Properties of GCF 8684 and 8692

(i) The GCF of 8684 and 8692 is associative

GCF of 8684 and 8692 = GCF of 8692 and 8684

Related Greatest Common Factor of 8684

Related Greatest Common Factor of 8692

Frequently Asked Questions on GCF of 8684 and 8692

1. What is the GCF of 8684 and 8692?

Answer: GCF of 8684 and 8692 is 4.

2. What are the Factors of 8684?

Answer: Factors of 8684 are 1, 2, 4, 13, 26, 52, 167, 334, 668, 2171, 4342, 8684. There are 12 integers that are factors of 8684. The greatest factor of 8684 is 8684.

3. What are the Factors of 8692?

Answer: Factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692. There are 12 integers that are factors of 8692. The greatest factor of 8692 is 8692.

4. How to Find the GCF of 8684 and 8692?

Answer:

Greatest Common Factor of 8684 and 8692 = 4

Step 1: Find the prime factorization of 8684

8684 = 2 x 2 x 13 x 167

Step 2: Find the prime factorization of 8692

8692 = 2 x 2 x 41 x 53

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 8684 and 8692 is 4