Greatest Common Factor of 687 and 688

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 687, 688 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 687 and 688 is 1.

GCF(687,688) = 1

GCF of 687 and 688

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

GCF of:
and

Greatest Common Factor of 687 and 688

GCF of 687 and 688 is 1

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

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

∴ So by taking common prime factors GCF of 687 and 688 is 1

Greatest Common Factor of 687 and 688 by matching factors method

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

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

Greatest Common Factor

We found the factors and prime factorization of 687 and 688. The biggest common factor number is the GCF number.
So the greatest common factor 687 and 688 is 1.

Also check out the Least Common Multiple of 687 and 688

Properties of GCF 687 and 688

(i) The GCF of 687 and 688 is associative

GCF of 687 and 688 = GCF of 688 and 687

Related Greatest Common Factor of 687

Related Greatest Common Factor of 688

Frequently Asked Questions on GCF of 687 and 688

1. What is the GCF of 687 and 688?

Answer: GCF of 687 and 688 is 1.

2. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

3. 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.

4. How to Find the GCF of 687 and 688?

Answer:

Greatest Common Factor of 687 and 688 = 1

Step 1: Find the prime factorization of 687

687 = 3 x 229

Step 2: Find the prime factorization of 688

688 = 2 x 2 x 2 x 2 x 43

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 687 and 688 is 1