Greatest Common Factor of 1749 and 1756

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 1749, 1756 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1749 and 1756 is 1.

GCF(1749,1756) = 1

GCF of 1749 and 1756

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

GCF of:
and

Greatest Common Factor of 1749 and 1756

GCF of 1749 and 1756 is 1

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

Prime Factorization of 1756


2 1756
2 878
439 439
1

Prime factors of 1756 are 2,439. Prime factorization of 1756 in exponential form is:

1756 = 22×4391

∴ So by taking common prime factors GCF of 1749 and 1756 is 1

Greatest Common Factor of 1749 and 1756 by matching factors method

Factors of 1749

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

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

Factors of 1756

List of positive integer factors of 1756 that divides 1756 without a remainder.

1,2,4,439,878,1756

Greatest Common Factor

We found the factors and prime factorization of 1749 and 1756. The biggest common factor number is the GCF number.
So the greatest common factor 1749 and 1756 is 1.

Also check out the Least Common Multiple of 1749 and 1756

Properties of GCF 1749 and 1756

(i) The GCF of 1749 and 1756 is associative

GCF of 1749 and 1756 = GCF of 1756 and 1749

Related Greatest Common Factor of 1749

Related Greatest Common Factor of 1756

Frequently Asked Questions on GCF of 1749 and 1756

1. What is the GCF of 1749 and 1756?

Answer: GCF of 1749 and 1756 is 1.

2. 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.

3. What are the Factors of 1756?

Answer: Factors of 1756 are 1, 2, 4, 439, 878, 1756. There are 6 integers that are factors of 1756. The greatest factor of 1756 is 1756.

4. How to Find the GCF of 1749 and 1756?

Answer:

Greatest Common Factor of 1749 and 1756 = 1

Step 1: Find the prime factorization of 1749

1749 = 3 x 11 x 53

Step 2: Find the prime factorization of 1756

1756 = 2 x 2 x 439

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 1749 and 1756 is 1