Greatest Common Factor of 1565 and 1569

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 1565, 1569 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1565 and 1569 is 1.

GCF(1565,1569) = 1

GCF of 1565 and 1569

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

GCF of:
and

Greatest Common Factor of 1565 and 1569

GCF of 1565 and 1569 is 1

Prime Factorization of 1565


5 1565
313 313
1

Prime factors of 1565 are 5,313. Prime factorization of 1565 in exponential form is:

1565 = 51×3131

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

∴ So by taking common prime factors GCF of 1565 and 1569 is 1

Greatest Common Factor of 1565 and 1569 by matching factors method

Factors of 1565

List of positive integer factors of 1565 that divides 1565 without a remainder.

1,5,313,1565

Factors of 1569

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

1,3,523,1569

Greatest Common Factor

We found the factors and prime factorization of 1565 and 1569. The biggest common factor number is the GCF number.
So the greatest common factor 1565 and 1569 is 1.

Also check out the Least Common Multiple of 1565 and 1569

Properties of GCF 1565 and 1569

(i) The GCF of 1565 and 1569 is associative

GCF of 1565 and 1569 = GCF of 1569 and 1565

Related Greatest Common Factor of 1565

Related Greatest Common Factor of 1569

Frequently Asked Questions on GCF of 1565 and 1569

1. What is the GCF of 1565 and 1569?

Answer: GCF of 1565 and 1569 is 1.

2. What are the Factors of 1565?

Answer: Factors of 1565 are 1, 5, 313, 1565. There are 4 integers that are factors of 1565. The greatest factor of 1565 is 1565.

3. 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.

4. How to Find the GCF of 1565 and 1569?

Answer:

Greatest Common Factor of 1565 and 1569 = 1

Step 1: Find the prime factorization of 1565

1565 = 5 x 313

Step 2: Find the prime factorization of 1569

1569 = 3 x 523

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 1565 and 1569 is 1