Greatest Common Factor of 567 and 573

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 567, 573 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 567 and 573 is 3.

GCF(567,573) = 3

GCF of 567 and 573

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

GCF of:
and

Greatest Common Factor of 567 and 573

GCF of 567 and 573 is 3

Prime Factorization of 567


3 567
3 189
3 63
3 21
7 7
1

Prime factors of 567 are 3,7. Prime factorization of 567 in exponential form is:

567 = 34×71

Prime Factorization of 573


3 573
191 191
1

Prime factors of 573 are 3,191. Prime factorization of 573 in exponential form is:

573 = 31×1911

∴ So by taking common prime factors GCF of 567 and 573 is 3

Greatest Common Factor of 567 and 573 by matching factors method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Greatest Common Factor

We found the factors and prime factorization of 567 and 573. The biggest common factor number is the GCF number.
So the greatest common factor 567 and 573 is 3.

Also check out the Least Common Multiple of 567 and 573

Properties of GCF 567 and 573

(i) The GCF of 567 and 573 is associative

GCF of 567 and 573 = GCF of 573 and 567

Related Greatest Common Factor of 567

Related Greatest Common Factor of 573

Frequently Asked Questions on GCF of 567 and 573

1. What is the GCF of 567 and 573?

Answer: GCF of 567 and 573 is 3.

2. What are the Factors of 567?

Answer: Factors of 567 are 1, 3, 7, 9, 21, 27, 63, 81, 189, 567. There are 10 integers that are factors of 567. The greatest factor of 567 is 567.

3. What are the Factors of 573?

Answer: Factors of 573 are 1, 3, 191, 573. There are 4 integers that are factors of 573. The greatest factor of 573 is 573.

4. How to Find the GCF of 567 and 573?

Answer:

Greatest Common Factor of 567 and 573 = 3

Step 1: Find the prime factorization of 567

567 = 3 x 3 x 3 x 3 x 7

Step 2: Find the prime factorization of 573

573 = 3 x 191

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 567 and 573 is 3