Greatest Common Factor of 4580 and 4585

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 4580, 4585 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4580 and 4585 is 5.

GCF(4580,4585) = 5

GCF of 4580 and 4585

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

GCF of:
and

Greatest Common Factor of 4580 and 4585

GCF of 4580 and 4585 is 5

Prime Factorization of 4580


2 4580
2 2290
5 1145
229 229
1

Prime factors of 4580 are 2,5,229. Prime factorization of 4580 in exponential form is:

4580 = 22×51×2291

Prime Factorization of 4585


5 4585
7 917
131 131
1

Prime factors of 4585 are 5,7,131. Prime factorization of 4585 in exponential form is:

4585 = 51×71×1311

∴ So by taking common prime factors GCF of 4580 and 4585 is 5

Greatest Common Factor of 4580 and 4585 by matching factors method

Factors of 4580

List of positive integer factors of 4580 that divides 4580 without a remainder.

1,2,4,5,10,20,229,458,916,1145,2290,4580

Factors of 4585

List of positive integer factors of 4585 that divides 4585 without a remainder.

1,5,7,35,131,655,917,4585

Greatest Common Factor

We found the factors and prime factorization of 4580 and 4585. The biggest common factor number is the GCF number.
So the greatest common factor 4580 and 4585 is 5.

Also check out the Least Common Multiple of 4580 and 4585

Properties of GCF 4580 and 4585

(i) The GCF of 4580 and 4585 is associative

GCF of 4580 and 4585 = GCF of 4585 and 4580

Related Greatest Common Factor of 4580

Related Greatest Common Factor of 4585

Frequently Asked Questions on GCF of 4580 and 4585

1. What is the GCF of 4580 and 4585?

Answer: GCF of 4580 and 4585 is 5.

2. What are the Factors of 4580?

Answer: Factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580. There are 12 integers that are factors of 4580. The greatest factor of 4580 is 4580.

3. What are the Factors of 4585?

Answer: Factors of 4585 are 1, 5, 7, 35, 131, 655, 917, 4585. There are 8 integers that are factors of 4585. The greatest factor of 4585 is 4585.

4. How to Find the GCF of 4580 and 4585?

Answer:

Greatest Common Factor of 4580 and 4585 = 5

Step 1: Find the prime factorization of 4580

4580 = 2 x 2 x 5 x 229

Step 2: Find the prime factorization of 4585

4585 = 5 x 7 x 131

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 4580 and 4585 is 5