Greatest Common Factor of 3519 and 3525

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 3519, 3525 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3519 and 3525 is 3.

GCF(3519,3525) = 3

GCF of 3519 and 3525

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

GCF of:
and

Greatest Common Factor of 3519 and 3525

GCF of 3519 and 3525 is 3

Prime Factorization of 3519


3 3519
3 1173
17 391
23 23
1

Prime factors of 3519 are 3,17,23. Prime factorization of 3519 in exponential form is:

3519 = 32×171×231

Prime Factorization of 3525


3 3525
5 1175
5 235
47 47
1

Prime factors of 3525 are 3,5,47. Prime factorization of 3525 in exponential form is:

3525 = 31×52×471

∴ So by taking common prime factors GCF of 3519 and 3525 is 3

Greatest Common Factor of 3519 and 3525 by matching factors method

Factors of 3519

List of positive integer factors of 3519 that divides 3519 without a remainder.

1,3,9,17,23,51,69,153,207,391,1173,3519

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Greatest Common Factor

We found the factors and prime factorization of 3519 and 3525. The biggest common factor number is the GCF number.
So the greatest common factor 3519 and 3525 is 3.

Also check out the Least Common Multiple of 3519 and 3525

Properties of GCF 3519 and 3525

(i) The GCF of 3519 and 3525 is associative

GCF of 3519 and 3525 = GCF of 3525 and 3519

Related Greatest Common Factor of 3519

Related Greatest Common Factor of 3525

Frequently Asked Questions on GCF of 3519 and 3525

1. What is the GCF of 3519 and 3525?

Answer: GCF of 3519 and 3525 is 3.

2. What are the Factors of 3519?

Answer: Factors of 3519 are 1, 3, 9, 17, 23, 51, 69, 153, 207, 391, 1173, 3519. There are 12 integers that are factors of 3519. The greatest factor of 3519 is 3519.

3. What are the Factors of 3525?

Answer: Factors of 3525 are 1, 3, 5, 15, 25, 47, 75, 141, 235, 705, 1175, 3525. There are 12 integers that are factors of 3525. The greatest factor of 3525 is 3525.

4. How to Find the GCF of 3519 and 3525?

Answer:

Greatest Common Factor of 3519 and 3525 = 3

Step 1: Find the prime factorization of 3519

3519 = 3 x 3 x 17 x 23

Step 2: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3519 and 3525 is 3