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 690, 693 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 690 and 693 is 3.
GCF(690,693) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 690
2 | 690 |
3 | 345 |
5 | 115 |
23 | 23 |
1 |
Prime factors of 690 are 2,3,5,23. Prime factorization of 690 in exponential form is:
690 = 21×31×51×231
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 690 and 693 is 3
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
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 690 and 693. The biggest common factor number is the GCF number.
So the greatest common factor 690 and 693 is 3.
Also check out the Least Common Multiple of 690 and 693
(i) The GCF of 690 and 693 is associative
GCF of 690 and 693 = GCF of 693 and 690
1. What is the GCF of 690 and 693?
Answer: GCF of 690 and 693 is 3.
2. What are the Factors of 690?
Answer: Factors of 690 are 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690. There are 16 integers that are factors of 690. The greatest factor of 690 is 690.
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 690 and 693?
Answer:
Greatest Common Factor of 690 and 693 = 3
Step 1: Find the prime factorization of 690
690 = 2 x 3 x 5 x 23
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 = 3
Step 4: Therefore, the greatest common factor of 690 and 693 is 3