Greatest Common Factor of 1441 and 1444

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 1441, 1444 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1441 and 1444 is 1.

GCF(1441,1444) = 1

GCF of 1441 and 1444

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

GCF of:
and

Greatest Common Factor of 1441 and 1444

GCF of 1441 and 1444 is 1

Prime Factorization of 1441


11 1441
131 131
1

Prime factors of 1441 are 11,131. Prime factorization of 1441 in exponential form is:

1441 = 111×1311

Prime Factorization of 1444


2 1444
2 722
19 361
19 19
1

Prime factors of 1444 are 2,19. Prime factorization of 1444 in exponential form is:

1444 = 22×192

∴ So by taking common prime factors GCF of 1441 and 1444 is 1

Greatest Common Factor of 1441 and 1444 by matching factors method

Factors of 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1,11,131,1441

Factors of 1444

List of positive integer factors of 1444 that divides 1444 without a remainder.

1,2,4,19,38,76,361,722,1444

Greatest Common Factor

We found the factors and prime factorization of 1441 and 1444. The biggest common factor number is the GCF number.
So the greatest common factor 1441 and 1444 is 1.

Also check out the Least Common Multiple of 1441 and 1444

Properties of GCF 1441 and 1444

(i) The GCF of 1441 and 1444 is associative

GCF of 1441 and 1444 = GCF of 1444 and 1441

Related Greatest Common Factor of 1441

Related Greatest Common Factor of 1444

Frequently Asked Questions on GCF of 1441 and 1444

1. What is the GCF of 1441 and 1444?

Answer: GCF of 1441 and 1444 is 1.

2. What are the Factors of 1441?

Answer: Factors of 1441 are 1, 11, 131, 1441. There are 4 integers that are factors of 1441. The greatest factor of 1441 is 1441.

3. What are the Factors of 1444?

Answer: Factors of 1444 are 1, 2, 4, 19, 38, 76, 361, 722, 1444. There are 9 integers that are factors of 1444. The greatest factor of 1444 is 1444.

4. How to Find the GCF of 1441 and 1444?

Answer:

Greatest Common Factor of 1441 and 1444 = 1

Step 1: Find the prime factorization of 1441

1441 = 11 x 131

Step 2: Find the prime factorization of 1444

1444 = 2 x 2 x 19 x 19

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 1441 and 1444 is 1