Greatest Common Factor of 1575 and 1581

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 1575, 1581 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1575 and 1581 is 3.

GCF(1575,1581) = 3

GCF of 1575 and 1581

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

GCF of:
and

Greatest Common Factor of 1575 and 1581

GCF of 1575 and 1581 is 3

Prime Factorization of 1575


3 1575
3 525
5 175
5 35
7 7
1

Prime factors of 1575 are 3,5,7. Prime factorization of 1575 in exponential form is:

1575 = 32×52×71

Prime Factorization of 1581


3 1581
17 527
31 31
1

Prime factors of 1581 are 3,17,31. Prime factorization of 1581 in exponential form is:

1581 = 31×171×311

∴ So by taking common prime factors GCF of 1575 and 1581 is 3

Greatest Common Factor of 1575 and 1581 by matching factors method

Factors of 1575

List of positive integer factors of 1575 that divides 1575 without a remainder.

1,3,5,7,9,15,21,25,35,45,63,75,105,175,225,315,525,1575

Factors of 1581

List of positive integer factors of 1581 that divides 1581 without a remainder.

1,3,17,31,51,93,527,1581

Greatest Common Factor

We found the factors and prime factorization of 1575 and 1581. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1581 is 3.

Also check out the Least Common Multiple of 1575 and 1581

Properties of GCF 1575 and 1581

(i) The GCF of 1575 and 1581 is associative

GCF of 1575 and 1581 = GCF of 1581 and 1575

Related Greatest Common Factor of 1575

Related Greatest Common Factor of 1581

Frequently Asked Questions on GCF of 1575 and 1581

1. What is the GCF of 1575 and 1581?

Answer: GCF of 1575 and 1581 is 3.

2. What are the Factors of 1575?

Answer: Factors of 1575 are 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 63, 75, 105, 175, 225, 315, 525, 1575. There are 18 integers that are factors of 1575. The greatest factor of 1575 is 1575.

3. What are the Factors of 1581?

Answer: Factors of 1581 are 1, 3, 17, 31, 51, 93, 527, 1581. There are 8 integers that are factors of 1581. The greatest factor of 1581 is 1581.

4. How to Find the GCF of 1575 and 1581?

Answer:

Greatest Common Factor of 1575 and 1581 = 3

Step 1: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

Step 2: Find the prime factorization of 1581

1581 = 3 x 17 x 31

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 1575 and 1581 is 3