Greatest Common Factor of 567 and 570

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

Greatest common factor (GCF) of 567 and 570 is 3.

GCF(567,570) = 3

GCF of 567 and 570

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

GCF of:
and

Greatest Common Factor of 567 and 570

GCF of 567 and 570 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 570


2 570
3 285
5 95
19 19
1

Prime factors of 570 are 2,3,5,19. Prime factorization of 570 in exponential form is:

570 = 21×31×51×191

∴ So by taking common prime factors GCF of 567 and 570 is 3

Greatest Common Factor of 567 and 570 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 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Greatest Common Factor

We found the factors and prime factorization of 567 and 570. The biggest common factor number is the GCF number.
So the greatest common factor 567 and 570 is 3.

Also check out the Least Common Multiple of 567 and 570

Properties of GCF 567 and 570

(i) The GCF of 567 and 570 is associative

GCF of 567 and 570 = GCF of 570 and 567

Related Greatest Common Factor of 567

Related Greatest Common Factor of 570

Frequently Asked Questions on GCF of 567 and 570

1. What is the GCF of 567 and 570?

Answer: GCF of 567 and 570 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 570?

Answer: Factors of 570 are 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570. There are 16 integers that are factors of 570. The greatest factor of 570 is 570.

4. How to Find the GCF of 567 and 570?

Answer:

Greatest Common Factor of 567 and 570 = 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 570

570 = 2 x 3 x 5 x 19

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 570 is 3