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 1640, 1641 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1640 and 1641 is 1.
GCF(1640,1641) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1640
2 | 1640 |
2 | 820 |
2 | 410 |
5 | 205 |
41 | 41 |
1 |
Prime factors of 1640 are 2,5,41. Prime factorization of 1640 in exponential form is:
1640 = 23×51×411
Prime Factorization of 1641
3 | 1641 |
547 | 547 |
1 |
Prime factors of 1641 are 3,547. Prime factorization of 1641 in exponential form is:
1641 = 31×5471
∴ So by taking common prime factors GCF of 1640 and 1641 is 1
Factors of 1640
List of positive integer factors of 1640 that divides 1640 without a remainder.
1,2,4,5,8,10,20,40,41,82,164,205,328,410,820,1640
Factors of 1641
List of positive integer factors of 1641 that divides 1641 without a remainder.
1,3,547,1641
Greatest Common Factor
We found the factors and prime factorization of 1640 and 1641. The biggest common factor number is the GCF number.
So the greatest common factor 1640 and 1641 is 1.
Also check out the Least Common Multiple of 1640 and 1641
(i) The GCF of 1640 and 1641 is associative
GCF of 1640 and 1641 = GCF of 1641 and 1640
1. What is the GCF of 1640 and 1641?
Answer: GCF of 1640 and 1641 is 1.
2. What are the Factors of 1640?
Answer: Factors of 1640 are 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640. There are 16 integers that are factors of 1640. The greatest factor of 1640 is 1640.
3. What are the Factors of 1641?
Answer: Factors of 1641 are 1, 3, 547, 1641. There are 4 integers that are factors of 1641. The greatest factor of 1641 is 1641.
4. How to Find the GCF of 1640 and 1641?
Answer:
Greatest Common Factor of 1640 and 1641 = 1
Step 1: Find the prime factorization of 1640
1640 = 2 x 2 x 2 x 5 x 41
Step 2: Find the prime factorization of 1641
1641 = 3 x 547
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 1640 and 1641 is 1