Greatest Common Factor of 4530 and 4538

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 4530, 4538 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4530 and 4538 is 2.

GCF(4530,4538) = 2

GCF of 4530 and 4538

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

GCF of:
and

Greatest Common Factor of 4530 and 4538

GCF of 4530 and 4538 is 2

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

Prime Factorization of 4538


2 4538
2269 2269
1

Prime factors of 4538 are 2,2269. Prime factorization of 4538 in exponential form is:

4538 = 21×22691

∴ So by taking common prime factors GCF of 4530 and 4538 is 2

Greatest Common Factor of 4530 and 4538 by matching factors method

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

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1,2,2269,4538

Greatest Common Factor

We found the factors and prime factorization of 4530 and 4538. The biggest common factor number is the GCF number.
So the greatest common factor 4530 and 4538 is 2.

Also check out the Least Common Multiple of 4530 and 4538

Properties of GCF 4530 and 4538

(i) The GCF of 4530 and 4538 is associative

GCF of 4530 and 4538 = GCF of 4538 and 4530

Related Greatest Common Factor of 4530

Related Greatest Common Factor of 4538

Frequently Asked Questions on GCF of 4530 and 4538

1. What is the GCF of 4530 and 4538?

Answer: GCF of 4530 and 4538 is 2.

2. 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.

3. What are the Factors of 4538?

Answer: Factors of 4538 are 1, 2, 2269, 4538. There are 4 integers that are factors of 4538. The greatest factor of 4538 is 4538.

4. How to Find the GCF of 4530 and 4538?

Answer:

Greatest Common Factor of 4530 and 4538 = 2

Step 1: Find the prime factorization of 4530

4530 = 2 x 3 x 5 x 151

Step 2: Find the prime factorization of 4538

4538 = 2 x 2269

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4530 and 4538 is 2