Greatest Common Factor of 686 and 692

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

Greatest common factor (GCF) of 686 and 692 is 2.

GCF(686,692) = 2

GCF of 686 and 692

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

GCF of:
and

Greatest Common Factor of 686 and 692

GCF of 686 and 692 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 692


2 692
2 346
173 173
1

Prime factors of 692 are 2,173. Prime factorization of 692 in exponential form is:

692 = 22×1731

∴ So by taking common prime factors GCF of 686 and 692 is 2

Greatest Common Factor of 686 and 692 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 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors and prime factorization of 686 and 692. The biggest common factor number is the GCF number.
So the greatest common factor 686 and 692 is 2.

Also check out the Least Common Multiple of 686 and 692

Properties of GCF 686 and 692

(i) The GCF of 686 and 692 is associative

GCF of 686 and 692 = GCF of 692 and 686

Related Greatest Common Factor of 686

Related Greatest Common Factor of 692

Frequently Asked Questions on GCF of 686 and 692

1. What is the GCF of 686 and 692?

Answer: GCF of 686 and 692 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 692?

Answer: Factors of 692 are 1, 2, 4, 173, 346, 692. There are 6 integers that are factors of 692. The greatest factor of 692 is 692.

4. How to Find the GCF of 686 and 692?

Answer:

Greatest Common Factor of 686 and 692 = 2

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 692

692 = 2 x 2 x 173

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 692 is 2