Greatest Common Factor of 693 and 696

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 693, 696 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 693 and 696 is 3.

GCF(693,696) = 3

GCF of 693 and 696

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

GCF of:
and

Greatest Common Factor of 693 and 696

GCF of 693 and 696 is 3

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

Prime Factorization of 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2,3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

∴ So by taking common prime factors GCF of 693 and 696 is 3

Greatest Common Factor of 693 and 696 by matching factors method

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

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors and prime factorization of 693 and 696. The biggest common factor number is the GCF number.
So the greatest common factor 693 and 696 is 3.

Also check out the Least Common Multiple of 693 and 696

Properties of GCF 693 and 696

(i) The GCF of 693 and 696 is associative

GCF of 693 and 696 = GCF of 696 and 693

Related Greatest Common Factor of 693

Related Greatest Common Factor of 696

Frequently Asked Questions on GCF of 693 and 696

1. What is the GCF of 693 and 696?

Answer: GCF of 693 and 696 is 3.

2. 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.

3. What are the Factors of 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

4. How to Find the GCF of 693 and 696?

Answer:

Greatest Common Factor of 693 and 696 = 3

Step 1: Find the prime factorization of 693

693 = 3 x 3 x 7 x 11

Step 2: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

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

GCF = 3

Step 4: Therefore, the greatest common factor of 693 and 696 is 3