Greatest Common Factor of 1710 and 1715

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 1710, 1715 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1710 and 1715 is 5.

GCF(1710,1715) = 5

GCF of 1710 and 1715

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

GCF of:
and

Greatest Common Factor of 1710 and 1715

GCF of 1710 and 1715 is 5

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

Prime Factorization of 1715


5 1715
7 343
7 49
7 7
1

Prime factors of 1715 are 5,7. Prime factorization of 1715 in exponential form is:

1715 = 51×73

∴ So by taking common prime factors GCF of 1710 and 1715 is 5

Greatest Common Factor of 1710 and 1715 by matching factors method

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

Factors of 1715

List of positive integer factors of 1715 that divides 1715 without a remainder.

1,5,7,35,49,245,343,1715

Greatest Common Factor

We found the factors and prime factorization of 1710 and 1715. The biggest common factor number is the GCF number.
So the greatest common factor 1710 and 1715 is 5.

Also check out the Least Common Multiple of 1710 and 1715

Properties of GCF 1710 and 1715

(i) The GCF of 1710 and 1715 is associative

GCF of 1710 and 1715 = GCF of 1715 and 1710

Related Greatest Common Factor of 1710

Related Greatest Common Factor of 1715

Frequently Asked Questions on GCF of 1710 and 1715

1. What is the GCF of 1710 and 1715?

Answer: GCF of 1710 and 1715 is 5.

2. 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.

3. What are the Factors of 1715?

Answer: Factors of 1715 are 1, 5, 7, 35, 49, 245, 343, 1715. There are 8 integers that are factors of 1715. The greatest factor of 1715 is 1715.

4. How to Find the GCF of 1710 and 1715?

Answer:

Greatest Common Factor of 1710 and 1715 = 5

Step 1: Find the prime factorization of 1710

1710 = 2 x 3 x 3 x 5 x 19

Step 2: Find the prime factorization of 1715

1715 = 5 x 7 x 7 x 7

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 1710 and 1715 is 5