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, 689 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 687 and 689 is 1.
GCF(687,689) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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 689
13 | 689 |
53 | 53 |
1 |
Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:
689 = 131×531
∴ So by taking common prime factors GCF of 687 and 689 is 1
Factors of 687
List of positive integer factors of 687 that divides 687 without a remainder.
1,3,229,687
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Greatest Common Factor
We found the factors and prime factorization of 687 and 689. The biggest common factor number is the GCF number.
So the greatest common factor 687 and 689 is 1.
Also check out the Least Common Multiple of 687 and 689
(i) The GCF of 687 and 689 is associative
GCF of 687 and 689 = GCF of 689 and 687
1. What is the GCF of 687 and 689?
Answer: GCF of 687 and 689 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 689?
Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.
4. How to Find the GCF of 687 and 689?
Answer:
Greatest Common Factor of 687 and 689 = 1
Step 1: Find the prime factorization of 687
687 = 3 x 229
Step 2: Find the prime factorization of 689
689 = 13 x 53
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 689 is 1