Greatest Common Factor of 3442 and 3448

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, 3448 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3442 and 3448 is 2.

GCF(3442,3448) = 2

GCF of 3442 and 3448

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

GCF of:
and

Greatest Common Factor of 3442 and 3448

GCF of 3442 and 3448 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 3448


2 3448
2 1724
2 862
431 431
1

Prime factors of 3448 are 2,431. Prime factorization of 3448 in exponential form is:

3448 = 23×4311

∴ So by taking common prime factors GCF of 3442 and 3448 is 2

Greatest Common Factor of 3442 and 3448 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 3448

List of positive integer factors of 3448 that divides 3448 without a remainder.

1,2,4,8,431,862,1724,3448

Greatest Common Factor

We found the factors and prime factorization of 3442 and 3448. The biggest common factor number is the GCF number.
So the greatest common factor 3442 and 3448 is 2.

Also check out the Least Common Multiple of 3442 and 3448

Properties of GCF 3442 and 3448

(i) The GCF of 3442 and 3448 is associative

GCF of 3442 and 3448 = GCF of 3448 and 3442

Related Greatest Common Factor of 3442

Related Greatest Common Factor of 3448

Frequently Asked Questions on GCF of 3442 and 3448

1. What is the GCF of 3442 and 3448?

Answer: GCF of 3442 and 3448 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 3448?

Answer: Factors of 3448 are 1, 2, 4, 8, 431, 862, 1724, 3448. There are 8 integers that are factors of 3448. The greatest factor of 3448 is 3448.

4. How to Find the GCF of 3442 and 3448?

Answer:

Greatest Common Factor of 3442 and 3448 = 2

Step 1: Find the prime factorization of 3442

3442 = 2 x 1721

Step 2: Find the prime factorization of 3448

3448 = 2 x 2 x 2 x 431

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 3448 is 2