Greatest Common Factor of 574 and 577

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 574, 577 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 574 and 577 is 1.

GCF(574,577) = 1

GCF of 574 and 577

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

GCF of:
and

Greatest Common Factor of 574 and 577

GCF of 574 and 577 is 1

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

Prime Factorization of 577


577 577
1

Prime factors of 577 are 577. Prime factorization of 577 in exponential form is:

577 = 5771

∴ So by taking common prime factors GCF of 574 and 577 is 1

Greatest Common Factor of 574 and 577 by matching factors method

Factors of 574

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

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

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors and prime factorization of 574 and 577. The biggest common factor number is the GCF number.
So the greatest common factor 574 and 577 is 1.

Also check out the Least Common Multiple of 574 and 577

Properties of GCF 574 and 577

(i) The GCF of 574 and 577 is associative

GCF of 574 and 577 = GCF of 577 and 574

Related Greatest Common Factor of 574

Related Greatest Common Factor of 577

Frequently Asked Questions on GCF of 574 and 577

1. What is the GCF of 574 and 577?

Answer: GCF of 574 and 577 is 1.

2. 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.

3. What are the Factors of 577?

Answer: Factors of 577 are 1, 577. There are 2 integers that are factors of 577. The greatest factor of 577 is 577.

4. How to Find the GCF of 574 and 577?

Answer:

Greatest Common Factor of 574 and 577 = 1

Step 1: Find the prime factorization of 574

574 = 2 x 7 x 41

Step 2: Find the prime factorization of 577

577 = 577

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 574 and 577 is 1