Greatest Common Factor of 8600 and 8604

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, 8604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8600 and 8604 is 4.

GCF(8600,8604) = 4

GCF of 8600 and 8604

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

GCF of:
and

Greatest Common Factor of 8600 and 8604

GCF of 8600 and 8604 is 4

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 8604


2 8604
2 4302
3 2151
3 717
239 239
1

Prime factors of 8604 are 2,3,239. Prime factorization of 8604 in exponential form is:

8604 = 22×32×2391

∴ So by taking common prime factors GCF of 8600 and 8604 is 4

Greatest Common Factor of 8600 and 8604 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 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

Greatest Common Factor

We found the factors and prime factorization of 8600 and 8604. The biggest common factor number is the GCF number.
So the greatest common factor 8600 and 8604 is 4.

Also check out the Least Common Multiple of 8600 and 8604

Properties of GCF 8600 and 8604

(i) The GCF of 8600 and 8604 is associative

GCF of 8600 and 8604 = GCF of 8604 and 8600

Related Greatest Common Factor of 8600

Related Greatest Common Factor of 8604

Frequently Asked Questions on GCF of 8600 and 8604

1. What is the GCF of 8600 and 8604?

Answer: GCF of 8600 and 8604 is 4.

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 8604?

Answer: Factors of 8604 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 239, 478, 717, 956, 1434, 2151, 2868, 4302, 8604. There are 18 integers that are factors of 8604. The greatest factor of 8604 is 8604.

4. How to Find the GCF of 8600 and 8604?

Answer:

Greatest Common Factor of 8600 and 8604 = 4

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 8604

8604 = 2 x 2 x 3 x 3 x 239

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 8600 and 8604 is 4