Greatest Common Factor of 1724 and 1727

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, 1727 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1724 and 1727 is 1.

GCF(1724,1727) = 1

GCF of 1724 and 1727

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

GCF of:
and

Greatest Common Factor of 1724 and 1727

GCF of 1724 and 1727 is 1

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 1727


11 1727
157 157
1

Prime factors of 1727 are 11,157. Prime factorization of 1727 in exponential form is:

1727 = 111×1571

∴ So by taking common prime factors GCF of 1724 and 1727 is 1

Greatest Common Factor of 1724 and 1727 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 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1,11,157,1727

Greatest Common Factor

We found the factors and prime factorization of 1724 and 1727. The biggest common factor number is the GCF number.
So the greatest common factor 1724 and 1727 is 1.

Also check out the Least Common Multiple of 1724 and 1727

Properties of GCF 1724 and 1727

(i) The GCF of 1724 and 1727 is associative

GCF of 1724 and 1727 = GCF of 1727 and 1724

Related Greatest Common Factor of 1724

Related Greatest Common Factor of 1727

Frequently Asked Questions on GCF of 1724 and 1727

1. What is the GCF of 1724 and 1727?

Answer: GCF of 1724 and 1727 is 1.

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 1727?

Answer: Factors of 1727 are 1, 11, 157, 1727. There are 4 integers that are factors of 1727. The greatest factor of 1727 is 1727.

4. How to Find the GCF of 1724 and 1727?

Answer:

Greatest Common Factor of 1724 and 1727 = 1

Step 1: Find the prime factorization of 1724

1724 = 2 x 2 x 431

Step 2: Find the prime factorization of 1727

1727 = 11 x 157

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 1724 and 1727 is 1