Greatest Common Factor of 688 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 688, 696 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 688 and 696 is 8.

GCF(688,696) = 8

GCF of 688 and 696

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

GCF of:
and

Greatest Common Factor of 688 and 696

GCF of 688 and 696 is 8

Prime Factorization of 688


2 688
2 344
2 172
2 86
43 43
1

Prime factors of 688 are 2,43. Prime factorization of 688 in exponential form is:

688 = 24×431

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 688 and 696 is 8

Greatest Common Factor of 688 and 696 by matching factors method

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

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 688 and 696. The biggest common factor number is the GCF number.
So the greatest common factor 688 and 696 is 8.

Also check out the Least Common Multiple of 688 and 696

Properties of GCF 688 and 696

(i) The GCF of 688 and 696 is associative

GCF of 688 and 696 = GCF of 696 and 688

Related Greatest Common Factor of 688

Related Greatest Common Factor of 696

Frequently Asked Questions on GCF of 688 and 696

1. What is the GCF of 688 and 696?

Answer: GCF of 688 and 696 is 8.

2. What are the Factors of 688?

Answer: Factors of 688 are 1, 2, 4, 8, 16, 43, 86, 172, 344, 688. There are 10 integers that are factors of 688. The greatest factor of 688 is 688.

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 688 and 696?

Answer:

Greatest Common Factor of 688 and 696 = 8

Step 1: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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 = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 688 and 696 is 8