Greatest Common Factor of 688 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 688, 693 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 688 and 693 is 1.

GCF(688,693) = 1

GCF of 688 and 693

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

GCF of:
and

Greatest Common Factor of 688 and 693

GCF of 688 and 693 is 1

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 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 688 and 693 is 1

Greatest Common Factor of 688 and 693 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 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 688 and 693. The biggest common factor number is the GCF number.
So the greatest common factor 688 and 693 is 1.

Also check out the Least Common Multiple of 688 and 693

Properties of GCF 688 and 693

(i) The GCF of 688 and 693 is associative

GCF of 688 and 693 = GCF of 693 and 688

Related Greatest Common Factor of 688

Related Greatest Common Factor of 693

Frequently Asked Questions on GCF of 688 and 693

1. What is the GCF of 688 and 693?

Answer: GCF of 688 and 693 is 1.

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 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 688 and 693?

Answer:

Greatest Common Factor of 688 and 693 = 1

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 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 = = 1

Step 4: Therefore, the greatest common factor of 688 and 693 is 1