Greatest Common Factor of 3576 and 3580

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, 3580 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3576 and 3580 is 4.

GCF(3576,3580) = 4

GCF of 3576 and 3580

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

GCF of:
and

Greatest Common Factor of 3576 and 3580

GCF of 3576 and 3580 is 4

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 3580


2 3580
2 1790
5 895
179 179
1

Prime factors of 3580 are 2,5,179. Prime factorization of 3580 in exponential form is:

3580 = 22×51×1791

∴ So by taking common prime factors GCF of 3576 and 3580 is 4

Greatest Common Factor of 3576 and 3580 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 3580

List of positive integer factors of 3580 that divides 3580 without a remainder.

1,2,4,5,10,20,179,358,716,895,1790,3580

Greatest Common Factor

We found the factors and prime factorization of 3576 and 3580. The biggest common factor number is the GCF number.
So the greatest common factor 3576 and 3580 is 4.

Also check out the Least Common Multiple of 3576 and 3580

Properties of GCF 3576 and 3580

(i) The GCF of 3576 and 3580 is associative

GCF of 3576 and 3580 = GCF of 3580 and 3576

Related Greatest Common Factor of 3576

Related Greatest Common Factor of 3580

Frequently Asked Questions on GCF of 3576 and 3580

1. What is the GCF of 3576 and 3580?

Answer: GCF of 3576 and 3580 is 4.

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 3580?

Answer: Factors of 3580 are 1, 2, 4, 5, 10, 20, 179, 358, 716, 895, 1790, 3580. There are 12 integers that are factors of 3580. The greatest factor of 3580 is 3580.

4. How to Find the GCF of 3576 and 3580?

Answer:

Greatest Common Factor of 3576 and 3580 = 4

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 3580

3580 = 2 x 2 x 5 x 179

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 3576 and 3580 is 4