Greatest Common Factor of 1678 and 1681

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 1678, 1681 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1678 and 1681 is 1.

GCF(1678,1681) = 1

GCF of 1678 and 1681

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

GCF of:
and

Greatest Common Factor of 1678 and 1681

GCF of 1678 and 1681 is 1

Prime Factorization of 1678


2 1678
839 839
1

Prime factors of 1678 are 2,839. Prime factorization of 1678 in exponential form is:

1678 = 21×8391

Prime Factorization of 1681


41 1681
41 41
1

Prime factors of 1681 are 41. Prime factorization of 1681 in exponential form is:

1681 = 412

∴ So by taking common prime factors GCF of 1678 and 1681 is 1

Greatest Common Factor of 1678 and 1681 by matching factors method

Factors of 1678

List of positive integer factors of 1678 that divides 1678 without a remainder.

1,2,839,1678

Factors of 1681

List of positive integer factors of 1681 that divides 1681 without a remainder.

1,41,1681

Greatest Common Factor

We found the factors and prime factorization of 1678 and 1681. The biggest common factor number is the GCF number.
So the greatest common factor 1678 and 1681 is 1.

Also check out the Least Common Multiple of 1678 and 1681

Properties of GCF 1678 and 1681

(i) The GCF of 1678 and 1681 is associative

GCF of 1678 and 1681 = GCF of 1681 and 1678

Related Greatest Common Factor of 1678

Related Greatest Common Factor of 1681

Frequently Asked Questions on GCF of 1678 and 1681

1. What is the GCF of 1678 and 1681?

Answer: GCF of 1678 and 1681 is 1.

2. What are the Factors of 1678?

Answer: Factors of 1678 are 1, 2, 839, 1678. There are 4 integers that are factors of 1678. The greatest factor of 1678 is 1678.

3. What are the Factors of 1681?

Answer: Factors of 1681 are 1, 41, 1681. There are 3 integers that are factors of 1681. The greatest factor of 1681 is 1681.

4. How to Find the GCF of 1678 and 1681?

Answer:

Greatest Common Factor of 1678 and 1681 = 1

Step 1: Find the prime factorization of 1678

1678 = 2 x 839

Step 2: Find the prime factorization of 1681

1681 = 41 x 41

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 1678 and 1681 is 1