Greatest Common Factor of 8600 and 8607

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, 8607 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8600 and 8607 is 1.

GCF(8600,8607) = 1

GCF of 8600 and 8607

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

GCF of:
and

Greatest Common Factor of 8600 and 8607

GCF of 8600 and 8607 is 1

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 8607


3 8607
19 2869
151 151
1

Prime factors of 8607 are 3,19,151. Prime factorization of 8607 in exponential form is:

8607 = 31×191×1511

∴ So by taking common prime factors GCF of 8600 and 8607 is 1

Greatest Common Factor of 8600 and 8607 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 8607

List of positive integer factors of 8607 that divides 8607 without a remainder.

1,3,19,57,151,453,2869,8607

Greatest Common Factor

We found the factors and prime factorization of 8600 and 8607. The biggest common factor number is the GCF number.
So the greatest common factor 8600 and 8607 is 1.

Also check out the Least Common Multiple of 8600 and 8607

Properties of GCF 8600 and 8607

(i) The GCF of 8600 and 8607 is associative

GCF of 8600 and 8607 = GCF of 8607 and 8600

Frequently Asked Questions on GCF of 8600 and 8607

1. What is the GCF of 8600 and 8607?

Answer: GCF of 8600 and 8607 is 1.

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 8607?

Answer: Factors of 8607 are 1, 3, 19, 57, 151, 453, 2869, 8607. There are 8 integers that are factors of 8607. The greatest factor of 8607 is 8607.

4. How to Find the GCF of 8600 and 8607?

Answer:

Greatest Common Factor of 8600 and 8607 = 1

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 8607

8607 = 3 x 19 x 151

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8600 and 8607 is 1