Greatest Common Factor of 1749 and 1754

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, 1754 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1749 and 1754 is 1.

GCF(1749,1754) = 1

GCF of 1749 and 1754

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

GCF of:
and

Greatest Common Factor of 1749 and 1754

GCF of 1749 and 1754 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 1754


2 1754
877 877
1

Prime factors of 1754 are 2,877. Prime factorization of 1754 in exponential form is:

1754 = 21×8771

∴ So by taking common prime factors GCF of 1749 and 1754 is 1

Greatest Common Factor of 1749 and 1754 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 1754

List of positive integer factors of 1754 that divides 1754 without a remainder.

1,2,877,1754

Greatest Common Factor

We found the factors and prime factorization of 1749 and 1754. The biggest common factor number is the GCF number.
So the greatest common factor 1749 and 1754 is 1.

Also check out the Least Common Multiple of 1749 and 1754

Properties of GCF 1749 and 1754

(i) The GCF of 1749 and 1754 is associative

GCF of 1749 and 1754 = GCF of 1754 and 1749

Related Greatest Common Factor of 1749

Related Greatest Common Factor of 1754

Frequently Asked Questions on GCF of 1749 and 1754

1. What is the GCF of 1749 and 1754?

Answer: GCF of 1749 and 1754 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 1754?

Answer: Factors of 1754 are 1, 2, 877, 1754. There are 4 integers that are factors of 1754. The greatest factor of 1754 is 1754.

4. How to Find the GCF of 1749 and 1754?

Answer:

Greatest Common Factor of 1749 and 1754 = 1

Step 1: Find the prime factorization of 1749

1749 = 3 x 11 x 53

Step 2: Find the prime factorization of 1754

1754 = 2 x 877

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 1754 is 1