Greatest Common Factor of 1684 and 1691

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 1684, 1691 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1684 and 1691 is 1.

GCF(1684,1691) = 1

GCF of 1684 and 1691

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

GCF of:
and

Greatest Common Factor of 1684 and 1691

GCF of 1684 and 1691 is 1

Prime Factorization of 1684


2 1684
2 842
421 421
1

Prime factors of 1684 are 2,421. Prime factorization of 1684 in exponential form is:

1684 = 22×4211

Prime Factorization of 1691


19 1691
89 89
1

Prime factors of 1691 are 19,89. Prime factorization of 1691 in exponential form is:

1691 = 191×891

∴ So by taking common prime factors GCF of 1684 and 1691 is 1

Greatest Common Factor of 1684 and 1691 by matching factors method

Factors of 1684

List of positive integer factors of 1684 that divides 1684 without a remainder.

1,2,4,421,842,1684

Factors of 1691

List of positive integer factors of 1691 that divides 1691 without a remainder.

1,19,89,1691

Greatest Common Factor

We found the factors and prime factorization of 1684 and 1691. The biggest common factor number is the GCF number.
So the greatest common factor 1684 and 1691 is 1.

Also check out the Least Common Multiple of 1684 and 1691

Properties of GCF 1684 and 1691

(i) The GCF of 1684 and 1691 is associative

GCF of 1684 and 1691 = GCF of 1691 and 1684

Related Greatest Common Factor of 1684

Related Greatest Common Factor of 1691

Frequently Asked Questions on GCF of 1684 and 1691

1. What is the GCF of 1684 and 1691?

Answer: GCF of 1684 and 1691 is 1.

2. What are the Factors of 1684?

Answer: Factors of 1684 are 1, 2, 4, 421, 842, 1684. There are 6 integers that are factors of 1684. The greatest factor of 1684 is 1684.

3. What are the Factors of 1691?

Answer: Factors of 1691 are 1, 19, 89, 1691. There are 4 integers that are factors of 1691. The greatest factor of 1691 is 1691.

4. How to Find the GCF of 1684 and 1691?

Answer:

Greatest Common Factor of 1684 and 1691 = 1

Step 1: Find the prime factorization of 1684

1684 = 2 x 2 x 421

Step 2: Find the prime factorization of 1691

1691 = 19 x 89

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 1684 and 1691 is 1