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 689, 694 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 689 and 694 is 1.
GCF(689,694) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 694
2 | 694 |
347 | 347 |
1 |
Prime factors of 694 are 2,347. Prime factorization of 694 in exponential form is:
694 = 21×3471
∴ So by taking common prime factors GCF of 689 and 694 is 1
Factors of 689
List of positive integer factors of 689 that divides 689 without a remainder.
1,13,53,689
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors and prime factorization of 689 and 694. The biggest common factor number is the GCF number.
So the greatest common factor 689 and 694 is 1.
Also check out the Least Common Multiple of 689 and 694
(i) The GCF of 689 and 694 is associative
GCF of 689 and 694 = GCF of 694 and 689
1. What is the GCF of 689 and 694?
Answer: GCF of 689 and 694 is 1.
2. 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.
3. What are the Factors of 694?
Answer: Factors of 694 are 1, 2, 347, 694. There are 4 integers that are factors of 694. The greatest factor of 694 is 694.
4. How to Find the GCF of 689 and 694?
Answer:
Greatest Common Factor of 689 and 694 = 1
Step 1: Find the prime factorization of 689
689 = 13 x 53
Step 2: Find the prime factorization of 694
694 = 2 x 347
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 689 and 694 is 1