Greatest Common Factor of 1696 and 1697

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 1696, 1697 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1696 and 1697 is 1.

GCF(1696,1697) = 1

GCF of 1696 and 1697

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

GCF of:
and

Greatest Common Factor of 1696 and 1697

GCF of 1696 and 1697 is 1

Prime Factorization of 1696


2 1696
2 848
2 424
2 212
2 106
53 53
1

Prime factors of 1696 are 2,53. Prime factorization of 1696 in exponential form is:

1696 = 25×531

Prime Factorization of 1697


1697 1697
1

Prime factors of 1697 are 1697. Prime factorization of 1697 in exponential form is:

1697 = 16971

∴ So by taking common prime factors GCF of 1696 and 1697 is 1

Greatest Common Factor of 1696 and 1697 by matching factors method

Factors of 1696

List of positive integer factors of 1696 that divides 1696 without a remainder.

1,2,4,8,16,32,53,106,212,424,848,1696

Factors of 1697

List of positive integer factors of 1697 that divides 1697 without a remainder.

1,1697

Greatest Common Factor

We found the factors and prime factorization of 1696 and 1697. The biggest common factor number is the GCF number.
So the greatest common factor 1696 and 1697 is 1.

Also check out the Least Common Multiple of 1696 and 1697

Properties of GCF 1696 and 1697

(i) The GCF of 1696 and 1697 is associative

GCF of 1696 and 1697 = GCF of 1697 and 1696

Related Greatest Common Factor of 1696

Related Greatest Common Factor of 1697

Frequently Asked Questions on GCF of 1696 and 1697

1. What is the GCF of 1696 and 1697?

Answer: GCF of 1696 and 1697 is 1.

2. What are the Factors of 1696?

Answer: Factors of 1696 are 1, 2, 4, 8, 16, 32, 53, 106, 212, 424, 848, 1696. There are 12 integers that are factors of 1696. The greatest factor of 1696 is 1696.

3. What are the Factors of 1697?

Answer: Factors of 1697 are 1, 1697. There are 2 integers that are factors of 1697. The greatest factor of 1697 is 1697.

4. How to Find the GCF of 1696 and 1697?

Answer:

Greatest Common Factor of 1696 and 1697 = 1

Step 1: Find the prime factorization of 1696

1696 = 2 x 2 x 2 x 2 x 2 x 53

Step 2: Find the prime factorization of 1697

1697 = 1697

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 1696 and 1697 is 1