Greatest Common Factor of 573 and 574

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 573, 574 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 573 and 574 is 1.

GCF(573,574) = 1

GCF of 573 and 574

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

GCF of:
and

Greatest Common Factor of 573 and 574

GCF of 573 and 574 is 1

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

Prime Factorization of 574


2 574
7 287
41 41
1

Prime factors of 574 are 2,7,41. Prime factorization of 574 in exponential form is:

574 = 21×71×411

∴ So by taking common prime factors GCF of 573 and 574 is 1

Greatest Common Factor of 573 and 574 by matching factors method

Factors of 573

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

1,3,191,573

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors and prime factorization of 573 and 574. The biggest common factor number is the GCF number.
So the greatest common factor 573 and 574 is 1.

Also check out the Least Common Multiple of 573 and 574

Properties of GCF 573 and 574

(i) The GCF of 573 and 574 is associative

GCF of 573 and 574 = GCF of 574 and 573

Related Greatest Common Factor of 573

Related Greatest Common Factor of 574

Frequently Asked Questions on GCF of 573 and 574

1. What is the GCF of 573 and 574?

Answer: GCF of 573 and 574 is 1.

2. 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.

3. What are the Factors of 574?

Answer: Factors of 574 are 1, 2, 7, 14, 41, 82, 287, 574. There are 8 integers that are factors of 574. The greatest factor of 574 is 574.

4. How to Find the GCF of 573 and 574?

Answer:

Greatest Common Factor of 573 and 574 = 1

Step 1: Find the prime factorization of 573

573 = 3 x 191

Step 2: Find the prime factorization of 574

574 = 2 x 7 x 41

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 573 and 574 is 1