Greatest Common Factor of 3540 and 3544

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 3540, 3544 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3540 and 3544 is 4.

GCF(3540,3544) = 4

GCF of 3540 and 3544

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

GCF of:
and

Greatest Common Factor of 3540 and 3544

GCF of 3540 and 3544 is 4

Prime Factorization of 3540


2 3540
2 1770
3 885
5 295
59 59
1

Prime factors of 3540 are 2,3,5,59. Prime factorization of 3540 in exponential form is:

3540 = 22×31×51×591

Prime Factorization of 3544


2 3544
2 1772
2 886
443 443
1

Prime factors of 3544 are 2,443. Prime factorization of 3544 in exponential form is:

3544 = 23×4431

∴ So by taking common prime factors GCF of 3540 and 3544 is 4

Greatest Common Factor of 3540 and 3544 by matching factors method

Factors of 3540

List of positive integer factors of 3540 that divides 3540 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,59,60,118,177,236,295,354,590,708,885,1180,1770,3540

Factors of 3544

List of positive integer factors of 3544 that divides 3544 without a remainder.

1,2,4,8,443,886,1772,3544

Greatest Common Factor

We found the factors and prime factorization of 3540 and 3544. The biggest common factor number is the GCF number.
So the greatest common factor 3540 and 3544 is 4.

Also check out the Least Common Multiple of 3540 and 3544

Properties of GCF 3540 and 3544

(i) The GCF of 3540 and 3544 is associative

GCF of 3540 and 3544 = GCF of 3544 and 3540

Related Greatest Common Factor of 3540

Related Greatest Common Factor of 3544

Frequently Asked Questions on GCF of 3540 and 3544

1. What is the GCF of 3540 and 3544?

Answer: GCF of 3540 and 3544 is 4.

2. What are the Factors of 3540?

Answer: Factors of 3540 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 59, 60, 118, 177, 236, 295, 354, 590, 708, 885, 1180, 1770, 3540. There are 24 integers that are factors of 3540. The greatest factor of 3540 is 3540.

3. What are the Factors of 3544?

Answer: Factors of 3544 are 1, 2, 4, 8, 443, 886, 1772, 3544. There are 8 integers that are factors of 3544. The greatest factor of 3544 is 3544.

4. How to Find the GCF of 3540 and 3544?

Answer:

Greatest Common Factor of 3540 and 3544 = 4

Step 1: Find the prime factorization of 3540

3540 = 2 x 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 3544

3544 = 2 x 2 x 2 x 443

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3540 and 3544 is 4