Greatest Common Factor of 6525 and 6530

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 6525, 6530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6525 and 6530 is 5.

GCF(6525,6530) = 5

GCF of 6525 and 6530

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

GCF of:
and

Greatest Common Factor of 6525 and 6530

GCF of 6525 and 6530 is 5

Prime Factorization of 6525


3 6525
3 2175
5 725
5 145
29 29
1

Prime factors of 6525 are 3,5,29. Prime factorization of 6525 in exponential form is:

6525 = 32×52×291

Prime Factorization of 6530


2 6530
5 3265
653 653
1

Prime factors of 6530 are 2,5,653. Prime factorization of 6530 in exponential form is:

6530 = 21×51×6531

∴ So by taking common prime factors GCF of 6525 and 6530 is 5

Greatest Common Factor of 6525 and 6530 by matching factors method

Factors of 6525

List of positive integer factors of 6525 that divides 6525 without a remainder.

1,3,5,9,15,25,29,45,75,87,145,225,261,435,725,1305,2175,6525

Factors of 6530

List of positive integer factors of 6530 that divides 6530 without a remainder.

1,2,5,10,653,1306,3265,6530

Greatest Common Factor

We found the factors and prime factorization of 6525 and 6530. The biggest common factor number is the GCF number.
So the greatest common factor 6525 and 6530 is 5.

Also check out the Least Common Multiple of 6525 and 6530

Properties of GCF 6525 and 6530

(i) The GCF of 6525 and 6530 is associative

GCF of 6525 and 6530 = GCF of 6530 and 6525

Related Greatest Common Factor of 6525

Related Greatest Common Factor of 6530

Frequently Asked Questions on GCF of 6525 and 6530

1. What is the GCF of 6525 and 6530?

Answer: GCF of 6525 and 6530 is 5.

2. What are the Factors of 6525?

Answer: Factors of 6525 are 1, 3, 5, 9, 15, 25, 29, 45, 75, 87, 145, 225, 261, 435, 725, 1305, 2175, 6525. There are 18 integers that are factors of 6525. The greatest factor of 6525 is 6525.

3. What are the Factors of 6530?

Answer: Factors of 6530 are 1, 2, 5, 10, 653, 1306, 3265, 6530. There are 8 integers that are factors of 6530. The greatest factor of 6530 is 6530.

4. How to Find the GCF of 6525 and 6530?

Answer:

Greatest Common Factor of 6525 and 6530 = 5

Step 1: Find the prime factorization of 6525

6525 = 3 x 3 x 5 x 5 x 29

Step 2: Find the prime factorization of 6530

6530 = 2 x 5 x 653

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 6525 and 6530 is 5