Greatest Common Factor of 1744 and 1748

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, 1748 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1744 and 1748 is 4.

GCF(1744,1748) = 4

GCF of 1744 and 1748

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

GCF of:
and

Greatest Common Factor of 1744 and 1748

GCF of 1744 and 1748 is 4

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 1748


2 1748
2 874
19 437
23 23
1

Prime factors of 1748 are 2,19,23. Prime factorization of 1748 in exponential form is:

1748 = 22×191×231

∴ So by taking common prime factors GCF of 1744 and 1748 is 4

Greatest Common Factor of 1744 and 1748 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 1748

List of positive integer factors of 1748 that divides 1748 without a remainder.

1,2,4,19,23,38,46,76,92,437,874,1748

Greatest Common Factor

We found the factors and prime factorization of 1744 and 1748. The biggest common factor number is the GCF number.
So the greatest common factor 1744 and 1748 is 4.

Also check out the Least Common Multiple of 1744 and 1748

Properties of GCF 1744 and 1748

(i) The GCF of 1744 and 1748 is associative

GCF of 1744 and 1748 = GCF of 1748 and 1744

Related Greatest Common Factor of 1744

Related Greatest Common Factor of 1748

Frequently Asked Questions on GCF of 1744 and 1748

1. What is the GCF of 1744 and 1748?

Answer: GCF of 1744 and 1748 is 4.

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 1748?

Answer: Factors of 1748 are 1, 2, 4, 19, 23, 38, 46, 76, 92, 437, 874, 1748. There are 12 integers that are factors of 1748. The greatest factor of 1748 is 1748.

4. How to Find the GCF of 1744 and 1748?

Answer:

Greatest Common Factor of 1744 and 1748 = 4

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 1748

1748 = 2 x 2 x 19 x 23

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1744 and 1748 is 4