Greatest Common Factor of 3438 and 3443

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 3438, 3443 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3438 and 3443 is 1.

GCF(3438,3443) = 1

GCF of 3438 and 3443

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

GCF of:
and

Greatest Common Factor of 3438 and 3443

GCF of 3438 and 3443 is 1

Prime Factorization of 3438


2 3438
3 1719
3 573
191 191
1

Prime factors of 3438 are 2,3,191. Prime factorization of 3438 in exponential form is:

3438 = 21×32×1911

Prime Factorization of 3443


11 3443
313 313
1

Prime factors of 3443 are 11,313. Prime factorization of 3443 in exponential form is:

3443 = 111×3131

∴ So by taking common prime factors GCF of 3438 and 3443 is 1

Greatest Common Factor of 3438 and 3443 by matching factors method

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Factors of 3443

List of positive integer factors of 3443 that divides 3443 without a remainder.

1,11,313,3443

Greatest Common Factor

We found the factors and prime factorization of 3438 and 3443. The biggest common factor number is the GCF number.
So the greatest common factor 3438 and 3443 is 1.

Also check out the Least Common Multiple of 3438 and 3443

Properties of GCF 3438 and 3443

(i) The GCF of 3438 and 3443 is associative

GCF of 3438 and 3443 = GCF of 3443 and 3438

Related Greatest Common Factor of 3438

Related Greatest Common Factor of 3443

Frequently Asked Questions on GCF of 3438 and 3443

1. What is the GCF of 3438 and 3443?

Answer: GCF of 3438 and 3443 is 1.

2. What are the Factors of 3438?

Answer: Factors of 3438 are 1, 2, 3, 6, 9, 18, 191, 382, 573, 1146, 1719, 3438. There are 12 integers that are factors of 3438. The greatest factor of 3438 is 3438.

3. What are the Factors of 3443?

Answer: Factors of 3443 are 1, 11, 313, 3443. There are 4 integers that are factors of 3443. The greatest factor of 3443 is 3443.

4. How to Find the GCF of 3438 and 3443?

Answer:

Greatest Common Factor of 3438 and 3443 = 1

Step 1: Find the prime factorization of 3438

3438 = 2 x 3 x 3 x 191

Step 2: Find the prime factorization of 3443

3443 = 11 x 313

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 3438 and 3443 is 1