Greatest Common Factor of 1762 and 1770

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 1762, 1770 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1762 and 1770 is 2.

GCF(1762,1770) = 2

GCF of 1762 and 1770

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

GCF of:
and

Greatest Common Factor of 1762 and 1770

GCF of 1762 and 1770 is 2

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

Prime Factorization of 1770


2 1770
3 885
5 295
59 59
1

Prime factors of 1770 are 2,3,5,59. Prime factorization of 1770 in exponential form is:

1770 = 21×31×51×591

∴ So by taking common prime factors GCF of 1762 and 1770 is 2

Greatest Common Factor of 1762 and 1770 by matching factors method

Factors of 1762

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

1,2,881,1762

Factors of 1770

List of positive integer factors of 1770 that divides 1770 without a remainder.

1,2,3,5,6,10,15,30,59,118,177,295,354,590,885,1770

Greatest Common Factor

We found the factors and prime factorization of 1762 and 1770. The biggest common factor number is the GCF number.
So the greatest common factor 1762 and 1770 is 2.

Also check out the Least Common Multiple of 1762 and 1770

Properties of GCF 1762 and 1770

(i) The GCF of 1762 and 1770 is associative

GCF of 1762 and 1770 = GCF of 1770 and 1762

Related Greatest Common Factor of 1762

Related Greatest Common Factor of 1770

Frequently Asked Questions on GCF of 1762 and 1770

1. What is the GCF of 1762 and 1770?

Answer: GCF of 1762 and 1770 is 2.

2. 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.

3. What are the Factors of 1770?

Answer: Factors of 1770 are 1, 2, 3, 5, 6, 10, 15, 30, 59, 118, 177, 295, 354, 590, 885, 1770. There are 16 integers that are factors of 1770. The greatest factor of 1770 is 1770.

4. How to Find the GCF of 1762 and 1770?

Answer:

Greatest Common Factor of 1762 and 1770 = 2

Step 1: Find the prime factorization of 1762

1762 = 2 x 881

Step 2: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

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 1762 and 1770 is 2