Greatest Common Factor of 8600 and 8602

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 8600, 8602 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8600 and 8602 is 2.

GCF(8600,8602) = 2

GCF of 8600 and 8602

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

GCF of:
and

Greatest Common Factor of 8600 and 8602

GCF of 8600 and 8602 is 2

Prime Factorization of 8600


2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 8600 are 2,5,43. Prime factorization of 8600 in exponential form is:

8600 = 23×52×431

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2,11,17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

∴ So by taking common prime factors GCF of 8600 and 8602 is 2

Greatest Common Factor of 8600 and 8602 by matching factors method

Factors of 8600

List of positive integer factors of 8600 that divides 8600 without a remainder.

1,2,4,5,8,10,20,25,40,43,50,86,100,172,200,215,344,430,860,1075,1720,2150,4300,8600

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602

Greatest Common Factor

We found the factors and prime factorization of 8600 and 8602. The biggest common factor number is the GCF number.
So the greatest common factor 8600 and 8602 is 2.

Also check out the Least Common Multiple of 8600 and 8602

Properties of GCF 8600 and 8602

(i) The GCF of 8600 and 8602 is associative

GCF of 8600 and 8602 = GCF of 8602 and 8600

Related Greatest Common Factor of 8600

Related Greatest Common Factor of 8602

Frequently Asked Questions on GCF of 8600 and 8602

1. What is the GCF of 8600 and 8602?

Answer: GCF of 8600 and 8602 is 2.

2. What are the Factors of 8600?

Answer: Factors of 8600 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 43, 50, 86, 100, 172, 200, 215, 344, 430, 860, 1075, 1720, 2150, 4300, 8600. There are 24 integers that are factors of 8600. The greatest factor of 8600 is 8600.

3. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

4. How to Find the GCF of 8600 and 8602?

Answer:

Greatest Common Factor of 8600 and 8602 = 2

Step 1: Find the prime factorization of 8600

8600 = 2 x 2 x 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8600 and 8602 is 2