Greatest Common Factor of 1575 and 1578

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, 1578 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1575 and 1578 is 3.

GCF(1575,1578) = 3

GCF of 1575 and 1578

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

GCF of:
and

Greatest Common Factor of 1575 and 1578

GCF of 1575 and 1578 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 1578


2 1578
3 789
263 263
1

Prime factors of 1578 are 2,3,263. Prime factorization of 1578 in exponential form is:

1578 = 21×31×2631

∴ So by taking common prime factors GCF of 1575 and 1578 is 3

Greatest Common Factor of 1575 and 1578 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 1578

List of positive integer factors of 1578 that divides 1578 without a remainder.

1,2,3,6,263,526,789,1578

Greatest Common Factor

We found the factors and prime factorization of 1575 and 1578. The biggest common factor number is the GCF number.
So the greatest common factor 1575 and 1578 is 3.

Also check out the Least Common Multiple of 1575 and 1578

Properties of GCF 1575 and 1578

(i) The GCF of 1575 and 1578 is associative

GCF of 1575 and 1578 = GCF of 1578 and 1575

Related Greatest Common Factor of 1575

Related Greatest Common Factor of 1578

Frequently Asked Questions on GCF of 1575 and 1578

1. What is the GCF of 1575 and 1578?

Answer: GCF of 1575 and 1578 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 1578?

Answer: Factors of 1578 are 1, 2, 3, 6, 263, 526, 789, 1578. There are 8 integers that are factors of 1578. The greatest factor of 1578 is 1578.

4. How to Find the GCF of 1575 and 1578?

Answer:

Greatest Common Factor of 1575 and 1578 = 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 1578

1578 = 2 x 3 x 263

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 1578 is 3