Greatest Common Factor of 575 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 575, 580 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 575 and 580 is 5.

GCF(575,580) = 5

GCF of 575 and 580

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

GCF of:
and

Greatest Common Factor of 575 and 580

GCF of 575 and 580 is 5

Prime Factorization of 575


5 575
5 115
23 23
1

Prime factors of 575 are 5,23. Prime factorization of 575 in exponential form is:

575 = 52×231

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2,5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

∴ So by taking common prime factors GCF of 575 and 580 is 5

Greatest Common Factor of 575 and 580 by matching factors method

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

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 575 and 580. The biggest common factor number is the GCF number.
So the greatest common factor 575 and 580 is 5.

Also check out the Least Common Multiple of 575 and 580

Properties of GCF 575 and 580

(i) The GCF of 575 and 580 is associative

GCF of 575 and 580 = GCF of 580 and 575

Related Greatest Common Factor of 575

Related Greatest Common Factor of 580

Frequently Asked Questions on GCF of 575 and 580

1. What is the GCF of 575 and 580?

Answer: GCF of 575 and 580 is 5.

2. What are the Factors of 575?

Answer: Factors of 575 are 1, 5, 23, 25, 115, 575. There are 6 integers that are factors of 575. The greatest factor of 575 is 575.

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 575 and 580?

Answer:

Greatest Common Factor of 575 and 580 = 5

Step 1: Find the prime factorization of 575

575 = 5 x 5 x 23

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 = 5

Step 4: Therefore, the greatest common factor of 575 and 580 is 5