Greatest Common Factor of 1700 and 1707

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 1700, 1707 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1700 and 1707 is 1.

GCF(1700,1707) = 1

GCF of 1700 and 1707

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

GCF of:
and

Greatest Common Factor of 1700 and 1707

GCF of 1700 and 1707 is 1

Prime Factorization of 1700


2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 1700 are 2,5,17. Prime factorization of 1700 in exponential form is:

1700 = 22×52×171

Prime Factorization of 1707


3 1707
569 569
1

Prime factors of 1707 are 3,569. Prime factorization of 1707 in exponential form is:

1707 = 31×5691

∴ So by taking common prime factors GCF of 1700 and 1707 is 1

Greatest Common Factor of 1700 and 1707 by matching factors method

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Factors of 1707

List of positive integer factors of 1707 that divides 1707 without a remainder.

1,3,569,1707

Greatest Common Factor

We found the factors and prime factorization of 1700 and 1707. The biggest common factor number is the GCF number.
So the greatest common factor 1700 and 1707 is 1.

Also check out the Least Common Multiple of 1700 and 1707

Properties of GCF 1700 and 1707

(i) The GCF of 1700 and 1707 is associative

GCF of 1700 and 1707 = GCF of 1707 and 1700

Related Greatest Common Factor of 1700

Related Greatest Common Factor of 1707

Frequently Asked Questions on GCF of 1700 and 1707

1. What is the GCF of 1700 and 1707?

Answer: GCF of 1700 and 1707 is 1.

2. What are the Factors of 1700?

Answer: Factors of 1700 are 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. There are 18 integers that are factors of 1700. The greatest factor of 1700 is 1700.

3. What are the Factors of 1707?

Answer: Factors of 1707 are 1, 3, 569, 1707. There are 4 integers that are factors of 1707. The greatest factor of 1707 is 1707.

4. How to Find the GCF of 1700 and 1707?

Answer:

Greatest Common Factor of 1700 and 1707 = 1

Step 1: Find the prime factorization of 1700

1700 = 2 x 2 x 5 x 5 x 17

Step 2: Find the prime factorization of 1707

1707 = 3 x 569

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 1700 and 1707 is 1