Greatest Common Factor of 686 and 694

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 686, 694 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 686 and 694 is 2.

GCF(686,694) = 2

GCF of 686 and 694

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

GCF of:
and

Greatest Common Factor of 686 and 694

GCF of 686 and 694 is 2

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

Prime Factorization of 694


2 694
347 347
1

Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:

694 = 21×3471

∴ So by taking common prime factors GCF of 686 and 694 is 2

Greatest Common Factor of 686 and 694 by matching factors method

Factors of 686

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

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

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Greatest Common Factor

We found the factors and prime factorization of 686 and 694. The biggest common factor number is the GCF number.
So the greatest common factor 686 and 694 is 2.

Also check out the Least Common Multiple of 686 and 694

Properties of GCF 686 and 694

(i) The GCF of 686 and 694 is associative

GCF of 686 and 694 = GCF of 694 and 686

Related Greatest Common Factor of 686

Related Greatest Common Factor of 694

Frequently Asked Questions on GCF of 686 and 694

1. What is the GCF of 686 and 694?

Answer: GCF of 686 and 694 is 2.

2. 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.

3. What are the Factors of 694?

Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.

4. How to Find the GCF of 686 and 694?

Answer:

Greatest Common Factor of 686 and 694 = 2

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 694

694 = 2 x 347

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 686 and 694 is 2