Greatest Common Factor of 4584 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 4584, 4585 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4584 and 4585 is 1.

GCF(4584,4585) = 1

GCF of 4584 and 4585

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

GCF of:
and

Greatest Common Factor of 4584 and 4585

GCF of 4584 and 4585 is 1

Prime Factorization of 4584


2 4584
2 2292
2 1146
3 573
191 191
1

Prime factors of 4584 are 2,3,191. Prime factorization of 4584 in exponential form is:

4584 = 23×31×1911

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 4584 and 4585 is 1

Greatest Common Factor of 4584 and 4585 by matching factors method

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

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 4584 and 4585. The biggest common factor number is the GCF number.
So the greatest common factor 4584 and 4585 is 1.

Also check out the Least Common Multiple of 4584 and 4585

Properties of GCF 4584 and 4585

(i) The GCF of 4584 and 4585 is associative

GCF of 4584 and 4585 = GCF of 4585 and 4584

Related Greatest Common Factor of 4584

Related Greatest Common Factor of 4585

Frequently Asked Questions on GCF of 4584 and 4585

1. What is the GCF of 4584 and 4585?

Answer: GCF of 4584 and 4585 is 1.

2. What are the Factors of 4584?

Answer: Factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584. There are 16 integers that are factors of 4584. The greatest factor of 4584 is 4584.

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 4584 and 4585?

Answer:

Greatest Common Factor of 4584 and 4585 = 1

Step 1: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

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 = = 1

Step 4: Therefore, the greatest common factor of 4584 and 4585 is 1