Greatest Common Factor of 1688 and 1690

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 1688, 1690 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1688 and 1690 is 2.

GCF(1688,1690) = 2

GCF of 1688 and 1690

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

GCF of:
and

Greatest Common Factor of 1688 and 1690

GCF of 1688 and 1690 is 2

Prime Factorization of 1688


2 1688
2 844
2 422
211 211
1

Prime factors of 1688 are 2,211. Prime factorization of 1688 in exponential form is:

1688 = 23×2111

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

∴ So by taking common prime factors GCF of 1688 and 1690 is 2

Greatest Common Factor of 1688 and 1690 by matching factors method

Factors of 1688

List of positive integer factors of 1688 that divides 1688 without a remainder.

1,2,4,8,211,422,844,1688

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

Greatest Common Factor

We found the factors and prime factorization of 1688 and 1690. The biggest common factor number is the GCF number.
So the greatest common factor 1688 and 1690 is 2.

Also check out the Least Common Multiple of 1688 and 1690

Properties of GCF 1688 and 1690

(i) The GCF of 1688 and 1690 is associative

GCF of 1688 and 1690 = GCF of 1690 and 1688

Related Greatest Common Factor of 1688

Related Greatest Common Factor of 1690

Frequently Asked Questions on GCF of 1688 and 1690

1. What is the GCF of 1688 and 1690?

Answer: GCF of 1688 and 1690 is 2.

2. What are the Factors of 1688?

Answer: Factors of 1688 are 1, 2, 4, 8, 211, 422, 844, 1688. There are 8 integers that are factors of 1688. The greatest factor of 1688 is 1688.

3. 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.

4. How to Find the GCF of 1688 and 1690?

Answer:

Greatest Common Factor of 1688 and 1690 = 2

Step 1: Find the prime factorization of 1688

1688 = 2 x 2 x 2 x 211

Step 2: Find the prime factorization of 1690

1690 = 2 x 5 x 13 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1688 and 1690 is 2