Greatest Common Factor of 3520 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 3520, 3525 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3520 and 3525 is 5.

GCF(3520,3525) = 5

GCF of 3520 and 3525

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

GCF of:
and

Greatest Common Factor of 3520 and 3525

GCF of 3520 and 3525 is 5

Prime Factorization of 3520


2 3520
2 1760
2 880
2 440
2 220
2 110
5 55
11 11
1

Prime factors of 3520 are 2,5,11. Prime factorization of 3520 in exponential form is:

3520 = 26×51×111

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 3520 and 3525 is 5

Greatest Common Factor of 3520 and 3525 by matching factors method

Factors of 3520

List of positive integer factors of 3520 that divides 3520 without a remainder.

1,2,4,5,8,10,11,16,20,22,32,40,44,55,64,80,88,110,160,176,220,320,352,440,704,880,1760,3520

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 3520 and 3525. The biggest common factor number is the GCF number.
So the greatest common factor 3520 and 3525 is 5.

Also check out the Least Common Multiple of 3520 and 3525

Properties of GCF 3520 and 3525

(i) The GCF of 3520 and 3525 is associative

GCF of 3520 and 3525 = GCF of 3525 and 3520

Related Greatest Common Factor of 3520

Related Greatest Common Factor of 3525

Frequently Asked Questions on GCF of 3520 and 3525

1. What is the GCF of 3520 and 3525?

Answer: GCF of 3520 and 3525 is 5.

2. What are the Factors of 3520?

Answer: Factors of 3520 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 160, 176, 220, 320, 352, 440, 704, 880, 1760, 3520. There are 28 integers that are factors of 3520. The greatest factor of 3520 is 3520.

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 3520 and 3525?

Answer:

Greatest Common Factor of 3520 and 3525 = 5

Step 1: Find the prime factorization of 3520

3520 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11

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 = 5

Step 4: Therefore, the greatest common factor of 3520 and 3525 is 5