Greatest Common Factor of 577 and 580

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 577, 580 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 577 and 580 is 1.

GCF(577,580) = 1

GCF of 577 and 580

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

GCF of:
and

Greatest Common Factor of 577 and 580

GCF of 577 and 580 is 1

Prime Factorization of 577


577 577
1

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

577 = 5771

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2.Prime factorization of 580 in exponential form is:

580 = 22×51×291

∴ So by taking common prime factors GCF of 577 and 580 is 1

Greatest Common Factor of 577 and 580 by matching factors method

Factors of 577

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

1,577

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors and prime factorization of 577 and 580. The biggest common factor number is the GCF number.
So the greatest common factor 577 and 580 is 1.

Also check out the Least Common Multiple of 577 and 580

Properties of GCF 577 and 580

(i) The GCF of 577 and 580 is associative

GCF of 577 and 580 = GCF of 580 and 577

Related Greatest Common Factor of 577

Related Greatest Common Factor of 580

Frequently Asked Questions on GCF of 577 and 580

1. What is the GCF of 577 and 580?

Answer: GCF of 577 and 580 is 1.

2. 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.

3. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

4. How to Find the GCF of 577 and 580?

Answer:

Greatest Common Factor of 577 and 580 = 1

Step 1: Find the prime factorization of 577

577 = 577

Step 2: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

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 577 and 580 is 1