Greatest Common Factor of 3442 and 3446

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 3442, 3446 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3442 and 3446 is 2.

GCF(3442,3446) = 2

GCF of 3442 and 3446

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

GCF of:
and

Greatest Common Factor of 3442 and 3446

GCF of 3442 and 3446 is 2

Prime Factorization of 3442


2 3442
1721 1721
1

Prime factors of 3442 are 2,1721. Prime factorization of 3442 in exponential form is:

3442 = 21×17211

Prime Factorization of 3446


2 3446
1723 1723
1

Prime factors of 3446 are 2,1723. Prime factorization of 3446 in exponential form is:

3446 = 21×17231

∴ So by taking common prime factors GCF of 3442 and 3446 is 2

Greatest Common Factor of 3442 and 3446 by matching factors method

Factors of 3442

List of positive integer factors of 3442 that divides 3442 without a remainder.

1,2,1721,3442

Factors of 3446

List of positive integer factors of 3446 that divides 3446 without a remainder.

1,2,1723,3446

Greatest Common Factor

We found the factors and prime factorization of 3442 and 3446. The biggest common factor number is the GCF number.
So the greatest common factor 3442 and 3446 is 2.

Also check out the Least Common Multiple of 3442 and 3446

Properties of GCF 3442 and 3446

(i) The GCF of 3442 and 3446 is associative

GCF of 3442 and 3446 = GCF of 3446 and 3442

Related Greatest Common Factor of 3442

Related Greatest Common Factor of 3446

Frequently Asked Questions on GCF of 3442 and 3446

1. What is the GCF of 3442 and 3446?

Answer: GCF of 3442 and 3446 is 2.

2. What are the Factors of 3442?

Answer: Factors of 3442 are 1, 2, 1721, 3442. There are 4 integers that are factors of 3442. The greatest factor of 3442 is 3442.

3. What are the Factors of 3446?

Answer: Factors of 3446 are 1, 2, 1723, 3446. There are 4 integers that are factors of 3446. The greatest factor of 3446 is 3446.

4. How to Find the GCF of 3442 and 3446?

Answer:

Greatest Common Factor of 3442 and 3446 = 2

Step 1: Find the prime factorization of 3442

3442 = 2 x 1721

Step 2: Find the prime factorization of 3446

3446 = 2 x 1723

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 3442 and 3446 is 2