Greatest Common Factor of 4600 and 4604

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 4600, 4604 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4600 and 4604 is 4.

GCF(4600,4604) = 4

GCF of 4600 and 4604

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

GCF of:
and

Greatest Common Factor of 4600 and 4604

GCF of 4600 and 4604 is 4

Prime Factorization of 4600


2 4600
2 2300
2 1150
5 575
5 115
23 23
1

Prime factors of 4600 are 2,5,23. Prime factorization of 4600 in exponential form is:

4600 = 23×52×231

Prime Factorization of 4604


2 4604
2 2302
1151 1151
1

Prime factors of 4604 are 2,1151. Prime factorization of 4604 in exponential form is:

4604 = 22×11511

∴ So by taking common prime factors GCF of 4600 and 4604 is 4

Greatest Common Factor of 4600 and 4604 by matching factors method

Factors of 4600

List of positive integer factors of 4600 that divides 4600 without a remainder.

1,2,4,5,8,10,20,23,25,40,46,50,92,100,115,184,200,230,460,575,920,1150,2300,4600

Factors of 4604

List of positive integer factors of 4604 that divides 4604 without a remainder.

1,2,4,1151,2302,4604

Greatest Common Factor

We found the factors and prime factorization of 4600 and 4604. The biggest common factor number is the GCF number.
So the greatest common factor 4600 and 4604 is 4.

Also check out the Least Common Multiple of 4600 and 4604

Properties of GCF 4600 and 4604

(i) The GCF of 4600 and 4604 is associative

GCF of 4600 and 4604 = GCF of 4604 and 4600

Related Greatest Common Factor of 4600

Related Greatest Common Factor of 4604

Frequently Asked Questions on GCF of 4600 and 4604

1. What is the GCF of 4600 and 4604?

Answer: GCF of 4600 and 4604 is 4.

2. What are the Factors of 4600?

Answer: Factors of 4600 are 1, 2, 4, 5, 8, 10, 20, 23, 25, 40, 46, 50, 92, 100, 115, 184, 200, 230, 460, 575, 920, 1150, 2300, 4600. There are 24 integers that are factors of 4600. The greatest factor of 4600 is 4600.

3. What are the Factors of 4604?

Answer: Factors of 4604 are 1, 2, 4, 1151, 2302, 4604. There are 6 integers that are factors of 4604. The greatest factor of 4604 is 4604.

4. How to Find the GCF of 4600 and 4604?

Answer:

Greatest Common Factor of 4600 and 4604 = 4

Step 1: Find the prime factorization of 4600

4600 = 2 x 2 x 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4600 and 4604 is 4