Greatest Common Factor of 1690 and 1695

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 1690, 1695 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1690 and 1695 is 5.

GCF(1690,1695) = 5

GCF of 1690 and 1695

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

GCF of:
and

Greatest Common Factor of 1690 and 1695

GCF of 1690 and 1695 is 5

Prime Factorization of 1690


2 1690
5 845
13 169
13 13
1

Prime factors of 1690 are 2,5,13. Prime factorization of 1690 in exponential form is:

1690 = 21×51×132

Prime Factorization of 1695


3 1695
5 565
113 113
1

Prime factors of 1695 are 3,5,113. Prime factorization of 1695 in exponential form is:

1695 = 31×51×1131

∴ So by taking common prime factors GCF of 1690 and 1695 is 5

Greatest Common Factor of 1690 and 1695 by matching factors method

Factors of 1690

List of positive integer factors of 1690 that divides 1690 without a remainder.

1,2,5,10,13,26,65,130,169,338,845,1690

Factors of 1695

List of positive integer factors of 1695 that divides 1695 without a remainder.

1,3,5,15,113,339,565,1695

Greatest Common Factor

We found the factors and prime factorization of 1690 and 1695. The biggest common factor number is the GCF number.
So the greatest common factor 1690 and 1695 is 5.

Also check out the Least Common Multiple of 1690 and 1695

Properties of GCF 1690 and 1695

(i) The GCF of 1690 and 1695 is associative

GCF of 1690 and 1695 = GCF of 1695 and 1690

Related Greatest Common Factor of 1690

Related Greatest Common Factor of 1695

Frequently Asked Questions on GCF of 1690 and 1695

1. What is the GCF of 1690 and 1695?

Answer: GCF of 1690 and 1695 is 5.

2. What are the Factors of 1690?

Answer: Factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690. There are 12 integers that are factors of 1690. The greatest factor of 1690 is 1690.

3. What are the Factors of 1695?

Answer: Factors of 1695 are 1, 3, 5, 15, 113, 339, 565, 1695. There are 8 integers that are factors of 1695. The greatest factor of 1695 is 1695.

4. How to Find the GCF of 1690 and 1695?

Answer:

Greatest Common Factor of 1690 and 1695 = 5

Step 1: Find the prime factorization of 1690

1690 = 2 x 5 x 13 x 13

Step 2: Find the prime factorization of 1695

1695 = 3 x 5 x 113

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 1690 and 1695 is 5