Greatest Common Factor of 8692 and 8700

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 8692, 8700 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8692 and 8700 is 4.

GCF(8692,8700) = 4

GCF of 8692 and 8700

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

GCF of:
and

Greatest Common Factor of 8692 and 8700

GCF of 8692 and 8700 is 4

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

Prime Factorization of 8700


2 8700
2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 8700 are 2,3,5,29. Prime factorization of 8700 in exponential form is:

8700 = 22×31×52×291

∴ So by taking common prime factors GCF of 8692 and 8700 is 4

Greatest Common Factor of 8692 and 8700 by matching factors method

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

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors and prime factorization of 8692 and 8700. The biggest common factor number is the GCF number.
So the greatest common factor 8692 and 8700 is 4.

Also check out the Least Common Multiple of 8692 and 8700

Properties of GCF 8692 and 8700

(i) The GCF of 8692 and 8700 is associative

GCF of 8692 and 8700 = GCF of 8700 and 8692

Related Greatest Common Factor of 8692

Related Greatest Common Factor of 8700

Frequently Asked Questions on GCF of 8692 and 8700

1. What is the GCF of 8692 and 8700?

Answer: GCF of 8692 and 8700 is 4.

2. 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.

3. What are the Factors of 8700?

Answer: Factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700. There are 36 integers that are factors of 8700. The greatest factor of 8700 is 8700.

4. How to Find the GCF of 8692 and 8700?

Answer:

Greatest Common Factor of 8692 and 8700 = 4

Step 1: Find the prime factorization of 8692

8692 = 2 x 2 x 41 x 53

Step 2: Find the prime factorization of 8700

8700 = 2 x 2 x 3 x 5 x 5 x 29

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 8692 and 8700 is 4