Greatest Common Factor of 1653 and 1659

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 1653, 1659 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1653 and 1659 is 3.

GCF(1653,1659) = 3

GCF of 1653 and 1659

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

GCF of:
and

Greatest Common Factor of 1653 and 1659

GCF of 1653 and 1659 is 3

Prime Factorization of 1653


3 1653
19 551
29 29
1

Prime factors of 1653 are 3,19,29. Prime factorization of 1653 in exponential form is:

1653 = 31×191×291

Prime Factorization of 1659


3 1659
7 553
79 79
1

Prime factors of 1659 are 3,7,79. Prime factorization of 1659 in exponential form is:

1659 = 31×71×791

∴ So by taking common prime factors GCF of 1653 and 1659 is 3

Greatest Common Factor of 1653 and 1659 by matching factors method

Factors of 1653

List of positive integer factors of 1653 that divides 1653 without a remainder.

1,3,19,29,57,87,551,1653

Factors of 1659

List of positive integer factors of 1659 that divides 1659 without a remainder.

1,3,7,21,79,237,553,1659

Greatest Common Factor

We found the factors and prime factorization of 1653 and 1659. The biggest common factor number is the GCF number.
So the greatest common factor 1653 and 1659 is 3.

Also check out the Least Common Multiple of 1653 and 1659

Properties of GCF 1653 and 1659

(i) The GCF of 1653 and 1659 is associative

GCF of 1653 and 1659 = GCF of 1659 and 1653

Related Greatest Common Factor of 1653

Related Greatest Common Factor of 1659

Frequently Asked Questions on GCF of 1653 and 1659

1. What is the GCF of 1653 and 1659?

Answer: GCF of 1653 and 1659 is 3.

2. What are the Factors of 1653?

Answer: Factors of 1653 are 1, 3, 19, 29, 57, 87, 551, 1653. There are 8 integers that are factors of 1653. The greatest factor of 1653 is 1653.

3. What are the Factors of 1659?

Answer: Factors of 1659 are 1, 3, 7, 21, 79, 237, 553, 1659. There are 8 integers that are factors of 1659. The greatest factor of 1659 is 1659.

4. How to Find the GCF of 1653 and 1659?

Answer:

Greatest Common Factor of 1653 and 1659 = 3

Step 1: Find the prime factorization of 1653

1653 = 3 x 19 x 29

Step 2: Find the prime factorization of 1659

1659 = 3 x 7 x 79

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 1653 and 1659 is 3