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 1690, 1691 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1690 and 1691 is 1.
GCF(1690,1691) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1690
2 | 1690 |
5 | 845 |
13 | 169 |
13 | 13 |
1 |
Prime factors of 1690 are 2,5,13. Prime factorization of 1690 in exponential form is:
1690 = 21×51×132
Prime Factorization of 1691
19 | 1691 |
89 | 89 |
1 |
Prime factors of 1691 are 19,89. Prime factorization of 1691 in exponential form is:
1691 = 191×891
∴ So by taking common prime factors GCF of 1690 and 1691 is 1
Factors of 1690
List of positive integer factors of 1690 that divides 1690 without a remainder.
1,2,5,10,13,26,65,130,169,338,845,1690
Factors of 1691
List of positive integer factors of 1691 that divides 1691 without a remainder.
1,19,89,1691
Greatest Common Factor
We found the factors and prime factorization of 1690 and 1691. The biggest common factor number is the GCF number.
So the greatest common factor 1690 and 1691 is 1.
Also check out the Least Common Multiple of 1690 and 1691
(i) The GCF of 1690 and 1691 is associative
GCF of 1690 and 1691 = GCF of 1691 and 1690
1. What is the GCF of 1690 and 1691?
Answer: GCF of 1690 and 1691 is 1.
2. What are the Factors of 1690?
Answer: Factors of 1690 are 1, 2, 5, 10, 13, 26, 65, 130, 169, 338, 845, 1690. There are 12 integers that are factors of 1690. The greatest factor of 1690 is 1690.
3. What are the Factors of 1691?
Answer: Factors of 1691 are 1, 19, 89, 1691. There are 4 integers that are factors of 1691. The greatest factor of 1691 is 1691.
4. How to Find the GCF of 1690 and 1691?
Answer:
Greatest Common Factor of 1690 and 1691 = 1
Step 1: Find the prime factorization of 1690
1690 = 2 x 5 x 13 x 13
Step 2: Find the prime factorization of 1691
1691 = 19 x 89
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 1690 and 1691 is 1