Greatest Common Factor of 1563 and 1571

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 1563, 1571 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1563 and 1571 is 1.

GCF(1563,1571) = 1

GCF of 1563 and 1571

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

GCF of:
and

Greatest Common Factor of 1563 and 1571

GCF of 1563 and 1571 is 1

Prime Factorization of 1563


3 1563
521 521
1

Prime factors of 1563 are 3,521. Prime factorization of 1563 in exponential form is:

1563 = 31×5211

Prime Factorization of 1571


1571 1571
1

Prime factors of 1571 are 1571. Prime factorization of 1571 in exponential form is:

1571 = 15711

∴ So by taking common prime factors GCF of 1563 and 1571 is 1

Greatest Common Factor of 1563 and 1571 by matching factors method

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Factors of 1571

List of positive integer factors of 1571 that divides 1571 without a remainder.

1,1571

Greatest Common Factor

We found the factors and prime factorization of 1563 and 1571. The biggest common factor number is the GCF number.
So the greatest common factor 1563 and 1571 is 1.

Also check out the Least Common Multiple of 1563 and 1571

Properties of GCF 1563 and 1571

(i) The GCF of 1563 and 1571 is associative

GCF of 1563 and 1571 = GCF of 1571 and 1563

Related Greatest Common Factor of 1563

Related Greatest Common Factor of 1571

Frequently Asked Questions on GCF of 1563 and 1571

1. What is the GCF of 1563 and 1571?

Answer: GCF of 1563 and 1571 is 1.

2. What are the Factors of 1563?

Answer: Factors of 1563 are 1, 3, 521, 1563. There are 4 integers that are factors of 1563. The greatest factor of 1563 is 1563.

3. What are the Factors of 1571?

Answer: Factors of 1571 are 1, 1571. There are 2 integers that are factors of 1571. The greatest factor of 1571 is 1571.

4. How to Find the GCF of 1563 and 1571?

Answer:

Greatest Common Factor of 1563 and 1571 = 1

Step 1: Find the prime factorization of 1563

1563 = 3 x 521

Step 2: Find the prime factorization of 1571

1571 = 1571

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 1563 and 1571 is 1