Greatest Common Factor of 1566 and 1573

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 1566, 1573 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1566 and 1573 is 1.

GCF(1566,1573) = 1

GCF of 1566 and 1573

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

GCF of:
and

Greatest Common Factor of 1566 and 1573

GCF of 1566 and 1573 is 1

Prime Factorization of 1566


2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 1566 are 2,3,29. Prime factorization of 1566 in exponential form is:

1566 = 21×33×291

Prime Factorization of 1573


11 1573
11 143
13 13
1

Prime factors of 1573 are 11,13. Prime factorization of 1573 in exponential form is:

1573 = 112×131

∴ So by taking common prime factors GCF of 1566 and 1573 is 1

Greatest Common Factor of 1566 and 1573 by matching factors method

Factors of 1566

List of positive integer factors of 1566 that divides 1566 without a remainder.

1,2,3,6,9,18,27,29,54,58,87,174,261,522,783,1566

Factors of 1573

List of positive integer factors of 1573 that divides 1573 without a remainder.

1,11,13,121,143,1573

Greatest Common Factor

We found the factors and prime factorization of 1566 and 1573. The biggest common factor number is the GCF number.
So the greatest common factor 1566 and 1573 is 1.

Also check out the Least Common Multiple of 1566 and 1573

Properties of GCF 1566 and 1573

(i) The GCF of 1566 and 1573 is associative

GCF of 1566 and 1573 = GCF of 1573 and 1566

Related Greatest Common Factor of 1566

Related Greatest Common Factor of 1573

Frequently Asked Questions on GCF of 1566 and 1573

1. What is the GCF of 1566 and 1573?

Answer: GCF of 1566 and 1573 is 1.

2. What are the Factors of 1566?

Answer: Factors of 1566 are 1, 2, 3, 6, 9, 18, 27, 29, 54, 58, 87, 174, 261, 522, 783, 1566. There are 16 integers that are factors of 1566. The greatest factor of 1566 is 1566.

3. What are the Factors of 1573?

Answer: Factors of 1573 are 1, 11, 13, 121, 143, 1573. There are 6 integers that are factors of 1573. The greatest factor of 1573 is 1573.

4. How to Find the GCF of 1566 and 1573?

Answer:

Greatest Common Factor of 1566 and 1573 = 1

Step 1: Find the prime factorization of 1566

1566 = 2 x 3 x 3 x 3 x 29

Step 2: Find the prime factorization of 1573

1573 = 11 x 11 x 13

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 1566 and 1573 is 1