Greatest Common Factor of 1653 and 1661

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, 1661 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1653 and 1661 is 1.

GCF(1653,1661) = 1

GCF of 1653 and 1661

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

GCF of:
and

Greatest Common Factor of 1653 and 1661

GCF of 1653 and 1661 is 1

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 1661


11 1661
151 151
1

Prime factors of 1661 are 11,151. Prime factorization of 1661 in exponential form is:

1661 = 111×1511

∴ So by taking common prime factors GCF of 1653 and 1661 is 1

Greatest Common Factor of 1653 and 1661 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 1661

List of positive integer factors of 1661 that divides 1661 without a remainder.

1,11,151,1661

Greatest Common Factor

We found the factors and prime factorization of 1653 and 1661. The biggest common factor number is the GCF number.
So the greatest common factor 1653 and 1661 is 1.

Also check out the Least Common Multiple of 1653 and 1661

Properties of GCF 1653 and 1661

(i) The GCF of 1653 and 1661 is associative

GCF of 1653 and 1661 = GCF of 1661 and 1653

Related Greatest Common Factor of 1653

Related Greatest Common Factor of 1661

Frequently Asked Questions on GCF of 1653 and 1661

1. What is the GCF of 1653 and 1661?

Answer: GCF of 1653 and 1661 is 1.

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 1661?

Answer: Factors of 1661 are 1, 11, 151, 1661. There are 4 integers that are factors of 1661. The greatest factor of 1661 is 1661.

4. How to Find the GCF of 1653 and 1661?

Answer:

Greatest Common Factor of 1653 and 1661 = 1

Step 1: Find the prime factorization of 1653

1653 = 3 x 19 x 29

Step 2: Find the prime factorization of 1661

1661 = 11 x 151

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 1653 and 1661 is 1