Greatest Common Factor of 681 and 686

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 681, 686 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 681 and 686 is 1.

GCF(681,686) = 1

GCF of 681 and 686

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

GCF of:
and

Greatest Common Factor of 681 and 686

GCF of 681 and 686 is 1

Prime Factorization of 681


3 681
227 227
1

Prime factors of 681 are 3,227. Prime factorization of 681 in exponential form is:

681 = 31×2271

Prime Factorization of 686


2 686
7 343
7 49
7 7
1

Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:

686 = 21×73

∴ So by taking common prime factors GCF of 681 and 686 is 1

Greatest Common Factor of 681 and 686 by matching factors method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Greatest Common Factor

We found the factors and prime factorization of 681 and 686. The biggest common factor number is the GCF number.
So the greatest common factor 681 and 686 is 1.

Also check out the Least Common Multiple of 681 and 686

Properties of GCF 681 and 686

(i) The GCF of 681 and 686 is associative

GCF of 681 and 686 = GCF of 686 and 681

Related Greatest Common Factor of 681

Related Greatest Common Factor of 686

Frequently Asked Questions on GCF of 681 and 686

1. What is the GCF of 681 and 686?

Answer: GCF of 681 and 686 is 1.

2. What are the Factors of 681?

Answer: Factors of 681 are 1, 3, 227, 681. There are 4 integers that are factors of 681. The greatest factor of 681 is 681.

3. What are the Factors of 686?

Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.

4. How to Find the GCF of 681 and 686?

Answer:

Greatest Common Factor of 681 and 686 = 1

Step 1: Find the prime factorization of 681

681 = 3 x 227

Step 2: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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 681 and 686 is 1