Greatest Common Factor of 1705 and 1710

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 1705, 1710 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1705 and 1710 is 5.

GCF(1705,1710) = 5

GCF of 1705 and 1710

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

GCF of:
and

Greatest Common Factor of 1705 and 1710

GCF of 1705 and 1710 is 5

Prime Factorization of 1705


5 1705
11 341
31 31
1

Prime factors of 1705 are 5,11,31. Prime factorization of 1705 in exponential form is:

1705 = 51×111×311

Prime Factorization of 1710


2 1710
3 855
3 285
5 95
19 19
1

Prime factors of 1710 are 2,3,5,19. Prime factorization of 1710 in exponential form is:

1710 = 21×32×51×191

∴ So by taking common prime factors GCF of 1705 and 1710 is 5

Greatest Common Factor of 1705 and 1710 by matching factors method

Factors of 1705

List of positive integer factors of 1705 that divides 1705 without a remainder.

1,5,11,31,55,155,341,1705

Factors of 1710

List of positive integer factors of 1710 that divides 1710 without a remainder.

1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710

Greatest Common Factor

We found the factors and prime factorization of 1705 and 1710. The biggest common factor number is the GCF number.
So the greatest common factor 1705 and 1710 is 5.

Also check out the Least Common Multiple of 1705 and 1710

Properties of GCF 1705 and 1710

(i) The GCF of 1705 and 1710 is associative

GCF of 1705 and 1710 = GCF of 1710 and 1705

Related Greatest Common Factor of 1705

Related Greatest Common Factor of 1710

Frequently Asked Questions on GCF of 1705 and 1710

1. What is the GCF of 1705 and 1710?

Answer: GCF of 1705 and 1710 is 5.

2. What are the Factors of 1705?

Answer: Factors of 1705 are 1, 5, 11, 31, 55, 155, 341, 1705. There are 8 integers that are factors of 1705. The greatest factor of 1705 is 1705.

3. What are the Factors of 1710?

Answer: Factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710. There are 24 integers that are factors of 1710. The greatest factor of 1710 is 1710.

4. How to Find the GCF of 1705 and 1710?

Answer:

Greatest Common Factor of 1705 and 1710 = 5

Step 1: Find the prime factorization of 1705

1705 = 5 x 11 x 31

Step 2: Find the prime factorization of 1710

1710 = 2 x 3 x 3 x 5 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1705 and 1710 is 5