Greatest Common Factor of 4578 and 4584

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 4578, 4584 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4578 and 4584 is 6.

GCF(4578,4584) = 6

GCF of 4578 and 4584

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

GCF of:
and

Greatest Common Factor of 4578 and 4584

GCF of 4578 and 4584 is 6

Prime Factorization of 4578


2 4578
3 2289
7 763
109 109
1

Prime factors of 4578 are 2,3,7,109. Prime factorization of 4578 in exponential form is:

4578 = 21×31×71×1091

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

∴ So by taking common prime factors GCF of 4578 and 4584 is 6

Greatest Common Factor of 4578 and 4584 by matching factors method

Factors of 4578

List of positive integer factors of 4578 that divides 4578 without a remainder.

1,2,3,6,7,14,21,42,109,218,327,654,763,1526,2289,4578

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

Greatest Common Factor

We found the factors and prime factorization of 4578 and 4584. The biggest common factor number is the GCF number.
So the greatest common factor 4578 and 4584 is 6.

Also check out the Least Common Multiple of 4578 and 4584

Properties of GCF 4578 and 4584

(i) The GCF of 4578 and 4584 is associative

GCF of 4578 and 4584 = GCF of 4584 and 4578

Related Greatest Common Factor of 4578

Related Greatest Common Factor of 4584

Frequently Asked Questions on GCF of 4578 and 4584

1. What is the GCF of 4578 and 4584?

Answer: GCF of 4578 and 4584 is 6.

2. What are the Factors of 4578?

Answer: Factors of 4578 are 1, 2, 3, 6, 7, 14, 21, 42, 109, 218, 327, 654, 763, 1526, 2289, 4578. There are 16 integers that are factors of 4578. The greatest factor of 4578 is 4578.

3. 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.

4. How to Find the GCF of 4578 and 4584?

Answer:

Greatest Common Factor of 4578 and 4584 = 6

Step 1: Find the prime factorization of 4578

4578 = 2 x 3 x 7 x 109

Step 2: Find the prime factorization of 4584

4584 = 2 x 2 x 2 x 3 x 191

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 4578 and 4584 is 6