Greatest Common Factor of 8695 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 8695, 8700 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8695 and 8700 is 5.

GCF(8695,8700) = 5

GCF of 8695 and 8700

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

GCF of:
and

Greatest Common Factor of 8695 and 8700

GCF of 8695 and 8700 is 5

Prime Factorization of 8695


5 8695
37 1739
47 47
1

Prime factors of 8695 are 5,37,47. Prime factorization of 8695 in exponential form is:

8695 = 51×371×471

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 8695 and 8700 is 5

Greatest Common Factor of 8695 and 8700 by matching factors method

Factors of 8695

List of positive integer factors of 8695 that divides 8695 without a remainder.

1,5,37,47,185,235,1739,8695

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 8695 and 8700. The biggest common factor number is the GCF number.
So the greatest common factor 8695 and 8700 is 5.

Also check out the Least Common Multiple of 8695 and 8700

Properties of GCF 8695 and 8700

(i) The GCF of 8695 and 8700 is associative

GCF of 8695 and 8700 = GCF of 8700 and 8695

Related Greatest Common Factor of 8695

Related Greatest Common Factor of 8700

Frequently Asked Questions on GCF of 8695 and 8700

1. What is the GCF of 8695 and 8700?

Answer: GCF of 8695 and 8700 is 5.

2. What are the Factors of 8695?

Answer: Factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695. There are 8 integers that are factors of 8695. The greatest factor of 8695 is 8695.

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 8695 and 8700?

Answer:

Greatest Common Factor of 8695 and 8700 = 5

Step 1: Find the prime factorization of 8695

8695 = 5 x 37 x 47

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 = 5

Step 4: Therefore, the greatest common factor of 8695 and 8700 is 5