Greatest Common Factor of 3574 and 3582

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 3574, 3582 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3574 and 3582 is 2.

GCF(3574,3582) = 2

GCF of 3574 and 3582

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

GCF of:
and

Greatest Common Factor of 3574 and 3582

GCF of 3574 and 3582 is 2

Prime Factorization of 3574


2 3574
1787 1787
1

Prime factors of 3574 are 2,1787. Prime factorization of 3574 in exponential form is:

3574 = 21×17871

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

∴ So by taking common prime factors GCF of 3574 and 3582 is 2

Greatest Common Factor of 3574 and 3582 by matching factors method

Factors of 3574

List of positive integer factors of 3574 that divides 3574 without a remainder.

1,2,1787,3574

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

Greatest Common Factor

We found the factors and prime factorization of 3574 and 3582. The biggest common factor number is the GCF number.
So the greatest common factor 3574 and 3582 is 2.

Also check out the Least Common Multiple of 3574 and 3582

Properties of GCF 3574 and 3582

(i) The GCF of 3574 and 3582 is associative

GCF of 3574 and 3582 = GCF of 3582 and 3574

Related Greatest Common Factor of 3574

Related Greatest Common Factor of 3582

Frequently Asked Questions on GCF of 3574 and 3582

1. What is the GCF of 3574 and 3582?

Answer: GCF of 3574 and 3582 is 2.

2. What are the Factors of 3574?

Answer: Factors of 3574 are 1, 2, 1787, 3574. There are 4 integers that are factors of 3574. The greatest factor of 3574 is 3574.

3. 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.

4. How to Find the GCF of 3574 and 3582?

Answer:

Greatest Common Factor of 3574 and 3582 = 2

Step 1: Find the prime factorization of 3574

3574 = 2 x 1787

Step 2: Find the prime factorization of 3582

3582 = 2 x 3 x 3 x 199

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3574 and 3582 is 2