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 1643, 1646 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 1643 and 1646 is 1.
GCF(1643,1646) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 1643
31 | 1643 |
53 | 53 |
1 |
Prime factors of 1643 are 31,53. Prime factorization of 1643 in exponential form is:
1643 = 311×531
Prime Factorization of 1646
2 | 1646 |
823 | 823 |
1 |
Prime factors of 1646 are 2,823. Prime factorization of 1646 in exponential form is:
1646 = 21×8231
∴ So by taking common prime factors GCF of 1643 and 1646 is 1
Factors of 1643
List of positive integer factors of 1643 that divides 1643 without a remainder.
1,31,53,1643
Factors of 1646
List of positive integer factors of 1646 that divides 1646 without a remainder.
1,2,823,1646
Greatest Common Factor
We found the factors and prime factorization of 1643 and 1646. The biggest common factor number is the GCF number.
So the greatest common factor 1643 and 1646 is 1.
Also check out the Least Common Multiple of 1643 and 1646
(i) The GCF of 1643 and 1646 is associative
GCF of 1643 and 1646 = GCF of 1646 and 1643
1. What is the GCF of 1643 and 1646?
Answer: GCF of 1643 and 1646 is 1.
2. What are the Factors of 1643?
Answer: Factors of 1643 are 1, 31, 53, 1643. There are 4 integers that are factors of 1643. The greatest factor of 1643 is 1643.
3. What are the Factors of 1646?
Answer: Factors of 1646 are 1, 2, 823, 1646. There are 4 integers that are factors of 1646. The greatest factor of 1646 is 1646.
4. How to Find the GCF of 1643 and 1646?
Answer:
Greatest Common Factor of 1643 and 1646 = 1
Step 1: Find the prime factorization of 1643
1643 = 31 x 53
Step 2: Find the prime factorization of 1646
1646 = 2 x 823
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 1643 and 1646 is 1