Greatest Common Factor of 3525 and 3530

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 3525, 3530 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3525 and 3530 is 5.

GCF(3525,3530) = 5

GCF of 3525 and 3530

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

GCF of:
and

Greatest Common Factor of 3525 and 3530

GCF of 3525 and 3530 is 5

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

Prime Factorization of 3530


2 3530
5 1765
353 353
1

Prime factors of 3530 are 2,5,353. Prime factorization of 3530 in exponential form is:

3530 = 21×51×3531

∴ So by taking common prime factors GCF of 3525 and 3530 is 5

Greatest Common Factor of 3525 and 3530 by matching factors method

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

Factors of 3530

List of positive integer factors of 3530 that divides 3530 without a remainder.

1,2,5,10,353,706,1765,3530

Greatest Common Factor

We found the factors and prime factorization of 3525 and 3530. The biggest common factor number is the GCF number.
So the greatest common factor 3525 and 3530 is 5.

Also check out the Least Common Multiple of 3525 and 3530

Properties of GCF 3525 and 3530

(i) The GCF of 3525 and 3530 is associative

GCF of 3525 and 3530 = GCF of 3530 and 3525

Related Greatest Common Factor of 3525

Related Greatest Common Factor of 3530

Frequently Asked Questions on GCF of 3525 and 3530

1. What is the GCF of 3525 and 3530?

Answer: GCF of 3525 and 3530 is 5.

2. 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.

3. What are the Factors of 3530?

Answer: Factors of 3530 are 1, 2, 5, 10, 353, 706, 1765, 3530. There are 8 integers that are factors of 3530. The greatest factor of 3530 is 3530.

4. How to Find the GCF of 3525 and 3530?

Answer:

Greatest Common Factor of 3525 and 3530 = 5

Step 1: Find the prime factorization of 3525

3525 = 3 x 5 x 5 x 47

Step 2: Find the prime factorization of 3530

3530 = 2 x 5 x 353

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 3525 and 3530 is 5