Greatest Common Factor of 1724 and 1730

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 1724, 1730 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1724 and 1730 is 2.

GCF(1724,1730) = 2

GCF of 1724 and 1730

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

GCF of:
and

Greatest Common Factor of 1724 and 1730

GCF of 1724 and 1730 is 2

Prime Factorization of 1724


2 1724
2 862
431 431
1

Prime factors of 1724 are 2,431. Prime factorization of 1724 in exponential form is:

1724 = 22×4311

Prime Factorization of 1730


2 1730
5 865
173 173
1

Prime factors of 1730 are 2,5,173. Prime factorization of 1730 in exponential form is:

1730 = 21×51×1731

∴ So by taking common prime factors GCF of 1724 and 1730 is 2

Greatest Common Factor of 1724 and 1730 by matching factors method

Factors of 1724

List of positive integer factors of 1724 that divides 1724 without a remainder.

1,2,4,431,862,1724

Factors of 1730

List of positive integer factors of 1730 that divides 1730 without a remainder.

1,2,5,10,173,346,865,1730

Greatest Common Factor

We found the factors and prime factorization of 1724 and 1730. The biggest common factor number is the GCF number.
So the greatest common factor 1724 and 1730 is 2.

Also check out the Least Common Multiple of 1724 and 1730

Properties of GCF 1724 and 1730

(i) The GCF of 1724 and 1730 is associative

GCF of 1724 and 1730 = GCF of 1730 and 1724

Related Greatest Common Factor of 1724

Related Greatest Common Factor of 1730

Frequently Asked Questions on GCF of 1724 and 1730

1. What is the GCF of 1724 and 1730?

Answer: GCF of 1724 and 1730 is 2.

2. What are the Factors of 1724?

Answer: Factors of 1724 are 1, 2, 4, 431, 862, 1724. There are 6 integers that are factors of 1724. The greatest factor of 1724 is 1724.

3. What are the Factors of 1730?

Answer: Factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730. There are 8 integers that are factors of 1730. The greatest factor of 1730 is 1730.

4. How to Find the GCF of 1724 and 1730?

Answer:

Greatest Common Factor of 1724 and 1730 = 2

Step 1: Find the prime factorization of 1724

1724 = 2 x 2 x 431

Step 2: Find the prime factorization of 1730

1730 = 2 x 5 x 173

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1724 and 1730 is 2