Greatest Common Factor of 1744 and 1752

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, 1752 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1744 and 1752 is 8.

GCF(1744,1752) = 8

GCF of 1744 and 1752

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

GCF of:
and

Greatest Common Factor of 1744 and 1752

GCF of 1744 and 1752 is 8

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 1752


2 1752
2 876
2 438
3 219
73 73
1

Prime factors of 1752 are 2,3,73. Prime factorization of 1752 in exponential form is:

1752 = 23×31×731

∴ So by taking common prime factors GCF of 1744 and 1752 is 8

Greatest Common Factor of 1744 and 1752 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 1752

List of positive integer factors of 1752 that divides 1752 without a remainder.

1,2,3,4,6,8,12,24,73,146,219,292,438,584,876,1752

Greatest Common Factor

We found the factors and prime factorization of 1744 and 1752. The biggest common factor number is the GCF number.
So the greatest common factor 1744 and 1752 is 8.

Also check out the Least Common Multiple of 1744 and 1752

Properties of GCF 1744 and 1752

(i) The GCF of 1744 and 1752 is associative

GCF of 1744 and 1752 = GCF of 1752 and 1744

Related Greatest Common Factor of 1744

Related Greatest Common Factor of 1752

Frequently Asked Questions on GCF of 1744 and 1752

1. What is the GCF of 1744 and 1752?

Answer: GCF of 1744 and 1752 is 8.

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 1752?

Answer: Factors of 1752 are 1, 2, 3, 4, 6, 8, 12, 24, 73, 146, 219, 292, 438, 584, 876, 1752. There are 16 integers that are factors of 1752. The greatest factor of 1752 is 1752.

4. How to Find the GCF of 1744 and 1752?

Answer:

Greatest Common Factor of 1744 and 1752 = 8

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 1752

1752 = 2 x 2 x 2 x 3 x 73

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 1744 and 1752 is 8