Greatest Common Factor of 3444 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 3444, 3448 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3444 and 3448 is 4.

GCF(3444,3448) = 4

GCF of 3444 and 3448

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

GCF of:
and

Greatest Common Factor of 3444 and 3448

GCF of 3444 and 3448 is 4

Prime Factorization of 3444


2 3444
2 1722
3 861
7 287
41 41
1

Prime factors of 3444 are 2,3,7,41. Prime factorization of 3444 in exponential form is:

3444 = 22×31×71×411

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 3444 and 3448 is 4

Greatest Common Factor of 3444 and 3448 by matching factors method

Factors of 3444

List of positive integer factors of 3444 that divides 3444 without a remainder.

1,2,3,4,6,7,12,14,21,28,41,42,82,84,123,164,246,287,492,574,861,1148,1722,3444

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 3444 and 3448. The biggest common factor number is the GCF number.
So the greatest common factor 3444 and 3448 is 4.

Also check out the Least Common Multiple of 3444 and 3448

Properties of GCF 3444 and 3448

(i) The GCF of 3444 and 3448 is associative

GCF of 3444 and 3448 = GCF of 3448 and 3444

Related Greatest Common Factor of 3444

Related Greatest Common Factor of 3448

Frequently Asked Questions on GCF of 3444 and 3448

1. What is the GCF of 3444 and 3448?

Answer: GCF of 3444 and 3448 is 4.

2. What are the Factors of 3444?

Answer: Factors of 3444 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 41, 42, 82, 84, 123, 164, 246, 287, 492, 574, 861, 1148, 1722, 3444. There are 24 integers that are factors of 3444. The greatest factor of 3444 is 3444.

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 3444 and 3448?

Answer:

Greatest Common Factor of 3444 and 3448 = 4

Step 1: Find the prime factorization of 3444

3444 = 2 x 2 x 3 x 7 x 41

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 3444 and 3448 is 4