Greatest Common Factor of 3536 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 3536, 3544 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3536 and 3544 is 8.

GCF(3536,3544) = 8

GCF of 3536 and 3544

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

GCF of:
and

Greatest Common Factor of 3536 and 3544

GCF of 3536 and 3544 is 8

Prime Factorization of 3536


2 3536
2 1768
2 884
2 442
13 221
17 17
1

Prime factors of 3536 are 2,13,17. Prime factorization of 3536 in exponential form is:

3536 = 24×131×171

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 3536 and 3544 is 8

Greatest Common Factor of 3536 and 3544 by matching factors method

Factors of 3536

List of positive integer factors of 3536 that divides 3536 without a remainder.

1,2,4,8,13,16,17,26,34,52,68,104,136,208,221,272,442,884,1768,3536

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 3536 and 3544. The biggest common factor number is the GCF number.
So the greatest common factor 3536 and 3544 is 8.

Also check out the Least Common Multiple of 3536 and 3544

Properties of GCF 3536 and 3544

(i) The GCF of 3536 and 3544 is associative

GCF of 3536 and 3544 = GCF of 3544 and 3536

Related Greatest Common Factor of 3536

Related Greatest Common Factor of 3544

Frequently Asked Questions on GCF of 3536 and 3544

1. What is the GCF of 3536 and 3544?

Answer: GCF of 3536 and 3544 is 8.

2. What are the Factors of 3536?

Answer: Factors of 3536 are 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 442, 884, 1768, 3536. There are 20 integers that are factors of 3536. The greatest factor of 3536 is 3536.

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 3536 and 3544?

Answer:

Greatest Common Factor of 3536 and 3544 = 8

Step 1: Find the prime factorization of 3536

3536 = 2 x 2 x 2 x 2 x 13 x 17

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 x 2 = 8

Step 4: Therefore, the greatest common factor of 3536 and 3544 is 8