Greatest Common Factor of 1629 and 1635

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 1629, 1635 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1629 and 1635 is 3.

GCF(1629,1635) = 3

GCF of 1629 and 1635

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

GCF of:
and

Greatest Common Factor of 1629 and 1635

GCF of 1629 and 1635 is 3

Prime Factorization of 1629


3 1629
3 543
181 181
1

Prime factors of 1629 are 3,181. Prime factorization of 1629 in exponential form is:

1629 = 32×1811

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

∴ So by taking common prime factors GCF of 1629 and 1635 is 3

Greatest Common Factor of 1629 and 1635 by matching factors method

Factors of 1629

List of positive integer factors of 1629 that divides 1629 without a remainder.

1,3,9,181,543,1629

Factors of 1635

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

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

Greatest Common Factor

We found the factors and prime factorization of 1629 and 1635. The biggest common factor number is the GCF number.
So the greatest common factor 1629 and 1635 is 3.

Also check out the Least Common Multiple of 1629 and 1635

Properties of GCF 1629 and 1635

(i) The GCF of 1629 and 1635 is associative

GCF of 1629 and 1635 = GCF of 1635 and 1629

Related Greatest Common Factor of 1629

Related Greatest Common Factor of 1635

Frequently Asked Questions on GCF of 1629 and 1635

1. What is the GCF of 1629 and 1635?

Answer: GCF of 1629 and 1635 is 3.

2. What are the Factors of 1629?

Answer: Factors of 1629 are 1, 3, 9, 181, 543, 1629. There are 6 integers that are factors of 1629. The greatest factor of 1629 is 1629.

3. 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.

4. How to Find the GCF of 1629 and 1635?

Answer:

Greatest Common Factor of 1629 and 1635 = 3

Step 1: Find the prime factorization of 1629

1629 = 3 x 3 x 181

Step 2: Find the prime factorization of 1635

1635 = 3 x 5 x 109

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 1629 and 1635 is 3