Greatest Common Factor of 8600 and 8608

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, 8608 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8600 and 8608 is 8.

GCF(8600,8608) = 8

GCF of 8600 and 8608

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

GCF of:
and

Greatest Common Factor of 8600 and 8608

GCF of 8600 and 8608 is 8

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 8608


2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 8608 are 2,269. Prime factorization of 8608 in exponential form is:

8608 = 25×2691

∴ So by taking common prime factors GCF of 8600 and 8608 is 8

Greatest Common Factor of 8600 and 8608 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 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1,2,4,8,16,32,269,538,1076,2152,4304,8608

Greatest Common Factor

We found the factors and prime factorization of 8600 and 8608. The biggest common factor number is the GCF number.
So the greatest common factor 8600 and 8608 is 8.

Also check out the Least Common Multiple of 8600 and 8608

Properties of GCF 8600 and 8608

(i) The GCF of 8600 and 8608 is associative

GCF of 8600 and 8608 = GCF of 8608 and 8600

Related Greatest Common Factor of 8600

Related Greatest Common Factor of 8608

Frequently Asked Questions on GCF of 8600 and 8608

1. What is the GCF of 8600 and 8608?

Answer: GCF of 8600 and 8608 is 8.

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 8608?

Answer: Factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608. There are 12 integers that are factors of 8608. The greatest factor of 8608 is 8608.

4. How to Find the GCF of 8600 and 8608?

Answer:

Greatest Common Factor of 8600 and 8608 = 8

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 8608

8608 = 2 x 2 x 2 x 2 x 2 x 269

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8600 and 8608 is 8