Greatest Common Factor of 4525 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 4525, 4530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4525 and 4530 is 5.

GCF(4525,4530) = 5

GCF of 4525 and 4530

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

GCF of:
and

Greatest Common Factor of 4525 and 4530

GCF of 4525 and 4530 is 5

Prime Factorization of 4525


5 4525
5 905
181 181
1

Prime factors of 4525 are 5,181. Prime factorization of 4525 in exponential form is:

4525 = 52×1811

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 4525 and 4530 is 5

Greatest Common Factor of 4525 and 4530 by matching factors method

Factors of 4525

List of positive integer factors of 4525 that divides 4525 without a remainder.

1,5,25,181,905,4525

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 4525 and 4530. The biggest common factor number is the GCF number.
So the greatest common factor 4525 and 4530 is 5.

Also check out the Least Common Multiple of 4525 and 4530

Properties of GCF 4525 and 4530

(i) The GCF of 4525 and 4530 is associative

GCF of 4525 and 4530 = GCF of 4530 and 4525

Related Greatest Common Factor of 4525

Related Greatest Common Factor of 4530

Frequently Asked Questions on GCF of 4525 and 4530

1. What is the GCF of 4525 and 4530?

Answer: GCF of 4525 and 4530 is 5.

2. What are the Factors of 4525?

Answer: Factors of 4525 are 1, 5, 25, 181, 905, 4525. There are 6 integers that are factors of 4525. The greatest factor of 4525 is 4525.

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 4525 and 4530?

Answer:

Greatest Common Factor of 4525 and 4530 = 5

Step 1: Find the prime factorization of 4525

4525 = 5 x 5 x 181

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 = 5

Step 4: Therefore, the greatest common factor of 4525 and 4530 is 5