Greatest Common Factor of 17200 and 17201

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 17200, 17201 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 17200 and 17201 is 1.

GCF(17200,17201) = 1

GCF of 17200 and 17201

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

GCF of:
and

Greatest Common Factor of 17200 and 17201

GCF of 17200 and 17201 is 1

Prime Factorization of 17200


2 17200
2 8600
2 4300
2 2150
5 1075
5 215
43 43
1

Prime factors of 17200 are 2,5,43. Prime factorization of 17200 in exponential form is:

17200 = 24×52×431

Prime Factorization of 17201


103 17201
167 167
1

Prime factors of 17201 are 103,167. Prime factorization of 17201 in exponential form is:

17201 = 1031×1671

∴ So by taking common prime factors GCF of 17200 and 17201 is 1

Greatest Common Factor of 17200 and 17201 by matching factors method

Factors of 17200

List of positive integer factors of 17200 that divides 17200 without a remainder.

1,2,4,5,8,10,16,20,25,40,43,50,80,86,100,172,200,215,344,400,430,688,860,1075,1720,2150,3440,4300,8600,17200

Factors of 17201

List of positive integer factors of 17201 that divides 17201 without a remainder.

1,103,167,17201

Greatest Common Factor

We found the factors and prime factorization of 17200 and 17201. The biggest common factor number is the GCF number.
So the greatest common factor 17200 and 17201 is 1.

Also check out the Least Common Multiple of 17200 and 17201

Properties of GCF 17200 and 17201

(i) The GCF of 17200 and 17201 is associative

GCF of 17200 and 17201 = GCF of 17201 and 17200

Related Greatest Common Factor of 17200

Related Greatest Common Factor of 17201

Frequently Asked Questions on GCF of 17200 and 17201

1. What is the GCF of 17200 and 17201?

Answer: GCF of 17200 and 17201 is 1.

2. What are the Factors of 17200?

Answer: Factors of 17200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 43, 50, 80, 86, 100, 172, 200, 215, 344, 400, 430, 688, 860, 1075, 1720, 2150, 3440, 4300, 8600, 17200. There are 30 integers that are factors of 17200. The greatest factor of 17200 is 17200.

3. What are the Factors of 17201?

Answer: Factors of 17201 are 1, 103, 167, 17201. There are 4 integers that are factors of 17201. The greatest factor of 17201 is 17201.

4. How to Find the GCF of 17200 and 17201?

Answer:

Greatest Common Factor of 17200 and 17201 = 1

Step 1: Find the prime factorization of 17200

17200 = 2 x 2 x 2 x 2 x 5 x 5 x 43

Step 2: Find the prime factorization of 17201

17201 = 103 x 167

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 17200 and 17201 is 1