Greatest Common Factor of 3582 and 3588

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 3582, 3588 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3582 and 3588 is 6.

GCF(3582,3588) = 6

GCF of 3582 and 3588

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

GCF of:
and

Greatest Common Factor of 3582 and 3588

GCF of 3582 and 3588 is 6

Prime Factorization of 3582


2 3582
3 1791
3 597
199 199
1

Prime factors of 3582 are 2,3,199. Prime factorization of 3582 in exponential form is:

3582 = 21×32×1991

Prime Factorization of 3588


2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 3588 are 2,3,13,23. Prime factorization of 3588 in exponential form is:

3588 = 22×31×131×231

∴ So by taking common prime factors GCF of 3582 and 3588 is 6

Greatest Common Factor of 3582 and 3588 by matching factors method

Factors of 3582

List of positive integer factors of 3582 that divides 3582 without a remainder.

1,2,3,6,9,18,199,398,597,1194,1791,3582

Factors of 3588

List of positive integer factors of 3588 that divides 3588 without a remainder.

1,2,3,4,6,12,13,23,26,39,46,52,69,78,92,138,156,276,299,598,897,1196,1794,3588

Greatest Common Factor

We found the factors and prime factorization of 3582 and 3588. The biggest common factor number is the GCF number.
So the greatest common factor 3582 and 3588 is 6.

Also check out the Least Common Multiple of 3582 and 3588

Properties of GCF 3582 and 3588

(i) The GCF of 3582 and 3588 is associative

GCF of 3582 and 3588 = GCF of 3588 and 3582

Related Greatest Common Factor of 3582

Related Greatest Common Factor of 3588

Frequently Asked Questions on GCF of 3582 and 3588

1. What is the GCF of 3582 and 3588?

Answer: GCF of 3582 and 3588 is 6.

2. What are the Factors of 3582?

Answer: Factors of 3582 are 1, 2, 3, 6, 9, 18, 199, 398, 597, 1194, 1791, 3582. There are 12 integers that are factors of 3582. The greatest factor of 3582 is 3582.

3. What are the Factors of 3588?

Answer: Factors of 3588 are 1, 2, 3, 4, 6, 12, 13, 23, 26, 39, 46, 52, 69, 78, 92, 138, 156, 276, 299, 598, 897, 1196, 1794, 3588. There are 24 integers that are factors of 3588. The greatest factor of 3588 is 3588.

4. How to Find the GCF of 3582 and 3588?

Answer:

Greatest Common Factor of 3582 and 3588 = 6

Step 1: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

Step 2: Find the prime factorization of 3588

3588 = 2 x 2 x 3 x 13 x 23

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3582 and 3588 is 6