Greatest Common Factor of 1744 and 1749

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 1744, 1749 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1744 and 1749 is 1.

GCF(1744,1749) = 1

GCF of 1744 and 1749

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

GCF of:
and

Greatest Common Factor of 1744 and 1749

GCF of 1744 and 1749 is 1

Prime Factorization of 1744


2 1744
2 872
2 436
2 218
109 109
1

Prime factors of 1744 are 2,109. Prime factorization of 1744 in exponential form is:

1744 = 24×1091

Prime Factorization of 1749


3 1749
11 583
53 53
1

Prime factors of 1749 are 3,11,53. Prime factorization of 1749 in exponential form is:

1749 = 31×111×531

∴ So by taking common prime factors GCF of 1744 and 1749 is 1

Greatest Common Factor of 1744 and 1749 by matching factors method

Factors of 1744

List of positive integer factors of 1744 that divides 1744 without a remainder.

1,2,4,8,16,109,218,436,872,1744

Factors of 1749

List of positive integer factors of 1749 that divides 1749 without a remainder.

1,3,11,33,53,159,583,1749

Greatest Common Factor

We found the factors and prime factorization of 1744 and 1749. The biggest common factor number is the GCF number.
So the greatest common factor 1744 and 1749 is 1.

Also check out the Least Common Multiple of 1744 and 1749

Properties of GCF 1744 and 1749

(i) The GCF of 1744 and 1749 is associative

GCF of 1744 and 1749 = GCF of 1749 and 1744

Frequently Asked Questions on GCF of 1744 and 1749

1. What is the GCF of 1744 and 1749?

Answer: GCF of 1744 and 1749 is 1.

2. What are the Factors of 1744?

Answer: Factors of 1744 are 1, 2, 4, 8, 16, 109, 218, 436, 872, 1744. There are 10 integers that are factors of 1744. The greatest factor of 1744 is 1744.

3. What are the Factors of 1749?

Answer: Factors of 1749 are 1, 3, 11, 33, 53, 159, 583, 1749. There are 8 integers that are factors of 1749. The greatest factor of 1749 is 1749.

4. How to Find the GCF of 1744 and 1749?

Answer:

Greatest Common Factor of 1744 and 1749 = 1

Step 1: Find the prime factorization of 1744

1744 = 2 x 2 x 2 x 2 x 109

Step 2: Find the prime factorization of 1749

1749 = 3 x 11 x 53

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 1744 and 1749 is 1