Greatest Common Factor of 4604 and 4605

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 4604, 4605 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4604 and 4605 is 1.

GCF(4604,4605) = 1

GCF of 4604 and 4605

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

GCF of:
and

Greatest Common Factor of 4604 and 4605

GCF of 4604 and 4605 is 1

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

Prime Factorization of 4605


3 4605
5 1535
307 307
1

Prime factors of 4605 are 3,5,307. Prime factorization of 4605 in exponential form is:

4605 = 31×51×3071

∴ So by taking common prime factors GCF of 4604 and 4605 is 1

Greatest Common Factor of 4604 and 4605 by matching factors method

Factors of 4604

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

1,2,4,1151,2302,4604

Factors of 4605

List of positive integer factors of 4605 that divides 4605 without a remainder.

1,3,5,15,307,921,1535,4605

Greatest Common Factor

We found the factors and prime factorization of 4604 and 4605. The biggest common factor number is the GCF number.
So the greatest common factor 4604 and 4605 is 1.

Also check out the Least Common Multiple of 4604 and 4605

Properties of GCF 4604 and 4605

(i) The GCF of 4604 and 4605 is associative

GCF of 4604 and 4605 = GCF of 4605 and 4604

Frequently Asked Questions on GCF of 4604 and 4605

1. What is the GCF of 4604 and 4605?

Answer: GCF of 4604 and 4605 is 1.

2. 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.

3. What are the Factors of 4605?

Answer: Factors of 4605 are 1, 3, 5, 15, 307, 921, 1535, 4605. There are 8 integers that are factors of 4605. The greatest factor of 4605 is 4605.

4. How to Find the GCF of 4604 and 4605?

Answer:

Greatest Common Factor of 4604 and 4605 = 1

Step 1: Find the prime factorization of 4604

4604 = 2 x 2 x 1151

Step 2: Find the prime factorization of 4605

4605 = 3 x 5 x 307

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 4604 and 4605 is 1