Greatest Common Factor of 6520 and 6525

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 6520, 6525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6520 and 6525 is 5.

GCF(6520,6525) = 5

GCF of 6520 and 6525

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

GCF of:
and

Greatest Common Factor of 6520 and 6525

GCF of 6520 and 6525 is 5

Prime Factorization of 6520


2 6520
2 3260
2 1630
5 815
163 163
1

Prime factors of 6520 are 2,5,163. Prime factorization of 6520 in exponential form is:

6520 = 23×51×1631

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

∴ So by taking common prime factors GCF of 6520 and 6525 is 5

Greatest Common Factor of 6520 and 6525 by matching factors method

Factors of 6520

List of positive integer factors of 6520 that divides 6520 without a remainder.

1,2,4,5,8,10,20,40,163,326,652,815,1304,1630,3260,6520

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

Greatest Common Factor

We found the factors and prime factorization of 6520 and 6525. The biggest common factor number is the GCF number.
So the greatest common factor 6520 and 6525 is 5.

Also check out the Least Common Multiple of 6520 and 6525

Properties of GCF 6520 and 6525

(i) The GCF of 6520 and 6525 is associative

GCF of 6520 and 6525 = GCF of 6525 and 6520

Related Greatest Common Factor of 6520

Related Greatest Common Factor of 6525

Frequently Asked Questions on GCF of 6520 and 6525

1. What is the GCF of 6520 and 6525?

Answer: GCF of 6520 and 6525 is 5.

2. What are the Factors of 6520?

Answer: Factors of 6520 are 1, 2, 4, 5, 8, 10, 20, 40, 163, 326, 652, 815, 1304, 1630, 3260, 6520. There are 16 integers that are factors of 6520. The greatest factor of 6520 is 6520.

3. 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.

4. How to Find the GCF of 6520 and 6525?

Answer:

Greatest Common Factor of 6520 and 6525 = 5

Step 1: Find the prime factorization of 6520

6520 = 2 x 2 x 2 x 5 x 163

Step 2: Find the prime factorization of 6525

6525 = 3 x 3 x 5 x 5 x 29

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 6520 and 6525 is 5