Greatest Common Factor of 1569 and 1575

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 1569, 1575 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1569 and 1575 is 3.

GCF(1569,1575) = 3

GCF of 1569 and 1575

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

GCF of:
and

Greatest Common Factor of 1569 and 1575

GCF of 1569 and 1575 is 3

Prime Factorization of 1569


3 1569
523 523
1

Prime factors of 1569 are 3,523. Prime factorization of 1569 in exponential form is:

1569 = 31×5231

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

∴ So by taking common prime factors GCF of 1569 and 1575 is 3

Greatest Common Factor of 1569 and 1575 by matching factors method

Factors of 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

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

Greatest Common Factor

We found the factors and prime factorization of 1569 and 1575. The biggest common factor number is the GCF number.
So the greatest common factor 1569 and 1575 is 3.

Also check out the Least Common Multiple of 1569 and 1575

Properties of GCF 1569 and 1575

(i) The GCF of 1569 and 1575 is associative

GCF of 1569 and 1575 = GCF of 1575 and 1569

Related Greatest Common Factor of 1569

Related Greatest Common Factor of 1575

Frequently Asked Questions on GCF of 1569 and 1575

1. What is the GCF of 1569 and 1575?

Answer: GCF of 1569 and 1575 is 3.

2. What are the Factors of 1569?

Answer: Factors of 1569 are 1, 3, 523, 1569. There are 4 integers that are factors of 1569. The greatest factor of 1569 is 1569.

3. 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.

4. How to Find the GCF of 1569 and 1575?

Answer:

Greatest Common Factor of 1569 and 1575 = 3

Step 1: Find the prime factorization of 1569

1569 = 3 x 523

Step 2: Find the prime factorization of 1575

1575 = 3 x 3 x 5 x 5 x 7

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 1569 and 1575 is 3