Greatest Common Factor of 3576 and 3579

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 3576, 3579 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3576 and 3579 is 3.

GCF(3576,3579) = 3

GCF of 3576 and 3579

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

GCF of:
and

Greatest Common Factor of 3576 and 3579

GCF of 3576 and 3579 is 3

Prime Factorization of 3576


2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 3576 are 2,3,149. Prime factorization of 3576 in exponential form is:

3576 = 23×31×1491

Prime Factorization of 3579


3 3579
1193 1193
1

Prime factors of 3579 are 3,1193. Prime factorization of 3579 in exponential form is:

3579 = 31×11931

∴ So by taking common prime factors GCF of 3576 and 3579 is 3

Greatest Common Factor of 3576 and 3579 by matching factors method

Factors of 3576

List of positive integer factors of 3576 that divides 3576 without a remainder.

1,2,3,4,6,8,12,24,149,298,447,596,894,1192,1788,3576

Factors of 3579

List of positive integer factors of 3579 that divides 3579 without a remainder.

1,3,1193,3579

Greatest Common Factor

We found the factors and prime factorization of 3576 and 3579. The biggest common factor number is the GCF number.
So the greatest common factor 3576 and 3579 is 3.

Also check out the Least Common Multiple of 3576 and 3579

Properties of GCF 3576 and 3579

(i) The GCF of 3576 and 3579 is associative

GCF of 3576 and 3579 = GCF of 3579 and 3576

Related Greatest Common Factor of 3576

Related Greatest Common Factor of 3579

Frequently Asked Questions on GCF of 3576 and 3579

1. What is the GCF of 3576 and 3579?

Answer: GCF of 3576 and 3579 is 3.

2. What are the Factors of 3576?

Answer: Factors of 3576 are 1, 2, 3, 4, 6, 8, 12, 24, 149, 298, 447, 596, 894, 1192, 1788, 3576. There are 16 integers that are factors of 3576. The greatest factor of 3576 is 3576.

3. What are the Factors of 3579?

Answer: Factors of 3579 are 1, 3, 1193, 3579. There are 4 integers that are factors of 3579. The greatest factor of 3579 is 3579.

4. How to Find the GCF of 3576 and 3579?

Answer:

Greatest Common Factor of 3576 and 3579 = 3

Step 1: Find the prime factorization of 3576

3576 = 2 x 2 x 2 x 3 x 149

Step 2: Find the prime factorization of 3579

3579 = 3 x 1193

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 3576 and 3579 is 3