Greatest Common Factor of 1643 and 1649

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, 1649 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1643 and 1649 is 1.

GCF(1643,1649) = 1

GCF of 1643 and 1649

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1643 and 1649

GCF of 1643 and 1649 is 1

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 1649


17 1649
97 97
1

Prime factors of 1649 are 17,97. Prime factorization of 1649 in exponential form is:

1649 = 171×971

∴ So by taking common prime factors GCF of 1643 and 1649 is 1

Greatest Common Factor of 1643 and 1649 by matching factors method

Factors of 1643

List of positive integer factors of 1643 that divides 1643 without a remainder.

1,31,53,1643

Factors of 1649

List of positive integer factors of 1649 that divides 1649 without a remainder.

1,17,97,1649

Greatest Common Factor

We found the factors and prime factorization of 1643 and 1649. The biggest common factor number is the GCF number.
So the greatest common factor 1643 and 1649 is 1.

Also check out the Least Common Multiple of 1643 and 1649

Properties of GCF 1643 and 1649

(i) The GCF of 1643 and 1649 is associative

GCF of 1643 and 1649 = GCF of 1649 and 1643

Related Greatest Common Factor of 1643

Related Greatest Common Factor of 1649

Frequently Asked Questions on GCF of 1643 and 1649

1. What is the GCF of 1643 and 1649?

Answer: GCF of 1643 and 1649 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 1649?

Answer: Factors of 1649 are 1, 17, 97, 1649. There are 4 integers that are factors of 1649. The greatest factor of 1649 is 1649.

4. How to Find the GCF of 1643 and 1649?

Answer:

Greatest Common Factor of 1643 and 1649 = 1

Step 1: Find the prime factorization of 1643

1643 = 31 x 53

Step 2: Find the prime factorization of 1649

1649 = 17 x 97

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 1649 is 1