Greatest Common Factor of 4524 and 4530

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 4524, 4530 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4524 and 4530 is 6.

GCF(4524,4530) = 6

GCF of 4524 and 4530

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

GCF of:
and

Greatest Common Factor of 4524 and 4530

GCF of 4524 and 4530 is 6

Prime Factorization of 4524


2 4524
2 2262
3 1131
13 377
29 29
1

Prime factors of 4524 are 2,3,13,29. Prime factorization of 4524 in exponential form is:

4524 = 22×31×131×291

Prime Factorization of 4530


2 4530
3 2265
5 755
151 151
1

Prime factors of 4530 are 2,3,5,151. Prime factorization of 4530 in exponential form is:

4530 = 21×31×51×1511

∴ So by taking common prime factors GCF of 4524 and 4530 is 6

Greatest Common Factor of 4524 and 4530 by matching factors method

Factors of 4524

List of positive integer factors of 4524 that divides 4524 without a remainder.

1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524

Factors of 4530

List of positive integer factors of 4530 that divides 4530 without a remainder.

1,2,3,5,6,10,15,30,151,302,453,755,906,1510,2265,4530

Greatest Common Factor

We found the factors and prime factorization of 4524 and 4530. The biggest common factor number is the GCF number.
So the greatest common factor 4524 and 4530 is 6.

Also check out the Least Common Multiple of 4524 and 4530

Properties of GCF 4524 and 4530

(i) The GCF of 4524 and 4530 is associative

GCF of 4524 and 4530 = GCF of 4530 and 4524

Related Greatest Common Factor of 4524

Related Greatest Common Factor of 4530

Frequently Asked Questions on GCF of 4524 and 4530

1. What is the GCF of 4524 and 4530?

Answer: GCF of 4524 and 4530 is 6.

2. What are the Factors of 4524?

Answer: Factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524. There are 24 integers that are factors of 4524. The greatest factor of 4524 is 4524.

3. What are the Factors of 4530?

Answer: Factors of 4530 are 1, 2, 3, 5, 6, 10, 15, 30, 151, 302, 453, 755, 906, 1510, 2265, 4530. There are 16 integers that are factors of 4530. The greatest factor of 4530 is 4530.

4. How to Find the GCF of 4524 and 4530?

Answer:

Greatest Common Factor of 4524 and 4530 = 6

Step 1: Find the prime factorization of 4524

4524 = 2 x 2 x 3 x 13 x 29

Step 2: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

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 4524 and 4530 is 6