Greatest Common Factor of 1758 and 1762

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 1758, 1762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1758 and 1762 is 2.

GCF(1758,1762) = 2

GCF of 1758 and 1762

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

GCF of:
and

Greatest Common Factor of 1758 and 1762

GCF of 1758 and 1762 is 2

Prime Factorization of 1758


2 1758
3 879
293 293
1

Prime factors of 1758 are 2,3,293. Prime factorization of 1758 in exponential form is:

1758 = 21×31×2931

Prime Factorization of 1762


2 1762
881 881
1

Prime factors of 1762 are 2,881. Prime factorization of 1762 in exponential form is:

1762 = 21×8811

∴ So by taking common prime factors GCF of 1758 and 1762 is 2

Greatest Common Factor of 1758 and 1762 by matching factors method

Factors of 1758

List of positive integer factors of 1758 that divides 1758 without a remainder.

1,2,3,6,293,586,879,1758

Factors of 1762

List of positive integer factors of 1762 that divides 1762 without a remainder.

1,2,881,1762

Greatest Common Factor

We found the factors and prime factorization of 1758 and 1762. The biggest common factor number is the GCF number.
So the greatest common factor 1758 and 1762 is 2.

Also check out the Least Common Multiple of 1758 and 1762

Properties of GCF 1758 and 1762

(i) The GCF of 1758 and 1762 is associative

GCF of 1758 and 1762 = GCF of 1762 and 1758

Related Greatest Common Factor of 1758

Related Greatest Common Factor of 1762

Frequently Asked Questions on GCF of 1758 and 1762

1. What is the GCF of 1758 and 1762?

Answer: GCF of 1758 and 1762 is 2.

2. What are the Factors of 1758?

Answer: Factors of 1758 are 1, 2, 3, 6, 293, 586, 879, 1758. There are 8 integers that are factors of 1758. The greatest factor of 1758 is 1758.

3. What are the Factors of 1762?

Answer: Factors of 1762 are 1, 2, 881, 1762. There are 4 integers that are factors of 1762. The greatest factor of 1762 is 1762.

4. How to Find the GCF of 1758 and 1762?

Answer:

Greatest Common Factor of 1758 and 1762 = 2

Step 1: Find the prime factorization of 1758

1758 = 2 x 3 x 293

Step 2: Find the prime factorization of 1762

1762 = 2 x 881

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 1758 and 1762 is 2