Greatest Common Factor of 1770 and 1775

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 1770, 1775 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1770 and 1775 is 5.

GCF(1770,1775) = 5

GCF of 1770 and 1775

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

GCF of:
and

Greatest Common Factor of 1770 and 1775

GCF of 1770 and 1775 is 5

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

Prime Factorization of 1775


5 1775
5 355
71 71
1

Prime factors of 1775 are 5,71. Prime factorization of 1775 in exponential form is:

1775 = 52×711

∴ So by taking common prime factors GCF of 1770 and 1775 is 5

Greatest Common Factor of 1770 and 1775 by matching factors method

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

Factors of 1775

List of positive integer factors of 1775 that divides 1775 without a remainder.

1,5,25,71,355,1775

Greatest Common Factor

We found the factors and prime factorization of 1770 and 1775. The biggest common factor number is the GCF number.
So the greatest common factor 1770 and 1775 is 5.

Also check out the Least Common Multiple of 1770 and 1775

Properties of GCF 1770 and 1775

(i) The GCF of 1770 and 1775 is associative

GCF of 1770 and 1775 = GCF of 1775 and 1770

Related Greatest Common Factor of 1770

Related Greatest Common Factor of 1775

Frequently Asked Questions on GCF of 1770 and 1775

1. What is the GCF of 1770 and 1775?

Answer: GCF of 1770 and 1775 is 5.

2. 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.

3. What are the Factors of 1775?

Answer: Factors of 1775 are 1, 5, 25, 71, 355, 1775. There are 6 integers that are factors of 1775. The greatest factor of 1775 is 1775.

4. How to Find the GCF of 1770 and 1775?

Answer:

Greatest Common Factor of 1770 and 1775 = 5

Step 1: Find the prime factorization of 1770

1770 = 2 x 3 x 5 x 59

Step 2: Find the prime factorization of 1775

1775 = 5 x 5 x 71

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

GCF = 5

Step 4: Therefore, the greatest common factor of 1770 and 1775 is 5