Greatest Common Factor of 1635 and 1643

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 1635, 1643 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1635 and 1643 is 1.

GCF(1635,1643) = 1

GCF of 1635 and 1643

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

GCF of:
and

Greatest Common Factor of 1635 and 1643

GCF of 1635 and 1643 is 1

Prime Factorization of 1635


3 1635
5 545
109 109
1

Prime factors of 1635 are 3,5,109. Prime factorization of 1635 in exponential form is:

1635 = 31×51×1091

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

∴ So by taking common prime factors GCF of 1635 and 1643 is 1

Greatest Common Factor of 1635 and 1643 by matching factors method

Factors of 1635

List of positive integer factors of 1635 that divides 1635 without a remainder.

1,3,5,15,109,327,545,1635

Factors of 1643

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

1,31,53,1643

Greatest Common Factor

We found the factors and prime factorization of 1635 and 1643. The biggest common factor number is the GCF number.
So the greatest common factor 1635 and 1643 is 1.

Also check out the Least Common Multiple of 1635 and 1643

Properties of GCF 1635 and 1643

(i) The GCF of 1635 and 1643 is associative

GCF of 1635 and 1643 = GCF of 1643 and 1635

Related Greatest Common Factor of 1635

Related Greatest Common Factor of 1643

Frequently Asked Questions on GCF of 1635 and 1643

1. What is the GCF of 1635 and 1643?

Answer: GCF of 1635 and 1643 is 1.

2. What are the Factors of 1635?

Answer: Factors of 1635 are 1, 3, 5, 15, 109, 327, 545, 1635. There are 8 integers that are factors of 1635. The greatest factor of 1635 is 1635.

3. 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.

4. How to Find the GCF of 1635 and 1643?

Answer:

Greatest Common Factor of 1635 and 1643 = 1

Step 1: Find the prime factorization of 1635

1635 = 3 x 5 x 109

Step 2: Find the prime factorization of 1643

1643 = 31 x 53

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 1635 and 1643 is 1