Greatest Common Factor of 1635 and 1641

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, 1641 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1635 and 1641 is 3.

GCF(1635,1641) = 3

GCF of 1635 and 1641

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

GCF of:
and

Greatest Common Factor of 1635 and 1641

GCF of 1635 and 1641 is 3

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 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 1635 and 1641 is 3

Greatest Common Factor of 1635 and 1641 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 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 1635 and 1641. The biggest common factor number is the GCF number.
So the greatest common factor 1635 and 1641 is 3.

Also check out the Least Common Multiple of 1635 and 1641

Properties of GCF 1635 and 1641

(i) The GCF of 1635 and 1641 is associative

GCF of 1635 and 1641 = GCF of 1641 and 1635

Related Greatest Common Factor of 1635

Related Greatest Common Factor of 1641

Frequently Asked Questions on GCF of 1635 and 1641

1. What is the GCF of 1635 and 1641?

Answer: GCF of 1635 and 1641 is 3.

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 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 1635 and 1641?

Answer:

Greatest Common Factor of 1635 and 1641 = 3

Step 1: Find the prime factorization of 1635

1635 = 3 x 5 x 109

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 = 3

Step 4: Therefore, the greatest common factor of 1635 and 1641 is 3