Greatest Common Factor of 4584 and 4589

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, 4589 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4584 and 4589 is 1.

GCF(4584,4589) = 1

GCF of 4584 and 4589

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

GCF of:
and

Greatest Common Factor of 4584 and 4589

GCF of 4584 and 4589 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 4589


13 4589
353 353
1

Prime factors of 4589 are 13,353. Prime factorization of 4589 in exponential form is:

4589 = 131×3531

∴ So by taking common prime factors GCF of 4584 and 4589 is 1

Greatest Common Factor of 4584 and 4589 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 4589

List of positive integer factors of 4589 that divides 4589 without a remainder.

1,13,353,4589

Greatest Common Factor

We found the factors and prime factorization of 4584 and 4589. The biggest common factor number is the GCF number.
So the greatest common factor 4584 and 4589 is 1.

Also check out the Least Common Multiple of 4584 and 4589

Properties of GCF 4584 and 4589

(i) The GCF of 4584 and 4589 is associative

GCF of 4584 and 4589 = GCF of 4589 and 4584

Related Greatest Common Factor of 4584

Related Greatest Common Factor of 4589

Frequently Asked Questions on GCF of 4584 and 4589

1. What is the GCF of 4584 and 4589?

Answer: GCF of 4584 and 4589 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 4589?

Answer: Factors of 4589 are 1, 13, 353, 4589. There are 4 integers that are factors of 4589. The greatest factor of 4589 is 4589.

4. How to Find the GCF of 4584 and 4589?

Answer:

Greatest Common Factor of 4584 and 4589 = 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 4589

4589 = 13 x 353

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 4589 is 1