Greatest Common Factor of 686 and 693

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, 693 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 686 and 693 is 7.

GCF(686,693) = 7

GCF of 686 and 693

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

GCF of:
and

Greatest Common Factor of 686 and 693

GCF of 686 and 693 is 7

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 693


3 693
3 231
7 77
11 11
1

Prime factors of 693 are 3,7,11. Prime factorization of 693 in exponential form is:

693 = 32×71×111

∴ So by taking common prime factors GCF of 686 and 693 is 7

Greatest Common Factor of 686 and 693 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 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors and prime factorization of 686 and 693. The biggest common factor number is the GCF number.
So the greatest common factor 686 and 693 is 7.

Also check out the Least Common Multiple of 686 and 693

Properties of GCF 686 and 693

(i) The GCF of 686 and 693 is associative

GCF of 686 and 693 = GCF of 693 and 686

Related Greatest Common Factor of 686

Related Greatest Common Factor of 693

Frequently Asked Questions on GCF of 686 and 693

1. What is the GCF of 686 and 693?

Answer: GCF of 686 and 693 is 7.

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 693?

Answer: Factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693. There are 12 integers that are factors of 693. The greatest factor of 693 is 693.

4. How to Find the GCF of 686 and 693?

Answer:

Greatest Common Factor of 686 and 693 = 7

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 686 and 693 is 7