Greatest Common Factor of 696 and 699

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 696, 699 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 696 and 699 is 3.

GCF(696,699) = 3

GCF of 696 and 699

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

GCF of:
and

Greatest Common Factor of 696 and 699

GCF of 696 and 699 is 3

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

Prime Factorization of 699


3 699
233 233
1

Prime factors of 699 are 3,233. Prime factorization of 699 in exponential form is:

699 = 31×2331

∴ So by taking common prime factors GCF of 696 and 699 is 3

Greatest Common Factor of 696 and 699 by matching factors method

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

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors and prime factorization of 696 and 699. The biggest common factor number is the GCF number.
So the greatest common factor 696 and 699 is 3.

Also check out the Least Common Multiple of 696 and 699

Properties of GCF 696 and 699

(i) The GCF of 696 and 699 is associative

GCF of 696 and 699 = GCF of 699 and 696

Related Greatest Common Factor of 696

Related Greatest Common Factor of 699

Frequently Asked Questions on GCF of 696 and 699

1. What is the GCF of 696 and 699?

Answer: GCF of 696 and 699 is 3.

2. 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.

3. What are the Factors of 699?

Answer: Factors of 699 are 1, 3, 233, 699. There are 4 integers that are factors of 699. The greatest factor of 699 is 699.

4. How to Find the GCF of 696 and 699?

Answer:

Greatest Common Factor of 696 and 699 = 3

Step 1: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

Step 2: Find the prime factorization of 699

699 = 3 x 233

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 696 and 699 is 3