Greatest Common Factor of 1765 and 1767

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 1765, 1767 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1765 and 1767 is 1.

GCF(1765,1767) = 1

GCF of 1765 and 1767

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

GCF of:
and

Greatest Common Factor of 1765 and 1767

GCF of 1765 and 1767 is 1

Prime Factorization of 1765


5 1765
353 353
1

Prime factors of 1765 are 5,353. Prime factorization of 1765 in exponential form is:

1765 = 51×3531

Prime Factorization of 1767


3 1767
19 589
31 31
1

Prime factors of 1767 are 3,19,31. Prime factorization of 1767 in exponential form is:

1767 = 31×191×311

∴ So by taking common prime factors GCF of 1765 and 1767 is 1

Greatest Common Factor of 1765 and 1767 by matching factors method

Factors of 1765

List of positive integer factors of 1765 that divides 1765 without a remainder.

1,5,353,1765

Factors of 1767

List of positive integer factors of 1767 that divides 1767 without a remainder.

1,3,19,31,57,93,589,1767

Greatest Common Factor

We found the factors and prime factorization of 1765 and 1767. The biggest common factor number is the GCF number.
So the greatest common factor 1765 and 1767 is 1.

Also check out the Least Common Multiple of 1765 and 1767

Properties of GCF 1765 and 1767

(i) The GCF of 1765 and 1767 is associative

GCF of 1765 and 1767 = GCF of 1767 and 1765

Related Greatest Common Factor of 1765

Related Greatest Common Factor of 1767

Frequently Asked Questions on GCF of 1765 and 1767

1. What is the GCF of 1765 and 1767?

Answer: GCF of 1765 and 1767 is 1.

2. What are the Factors of 1765?

Answer: Factors of 1765 are 1, 5, 353, 1765. There are 4 integers that are factors of 1765. The greatest factor of 1765 is 1765.

3. What are the Factors of 1767?

Answer: Factors of 1767 are 1, 3, 19, 31, 57, 93, 589, 1767. There are 8 integers that are factors of 1767. The greatest factor of 1767 is 1767.

4. How to Find the GCF of 1765 and 1767?

Answer:

Greatest Common Factor of 1765 and 1767 = 1

Step 1: Find the prime factorization of 1765

1765 = 5 x 353

Step 2: Find the prime factorization of 1767

1767 = 3 x 19 x 31

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 1765 and 1767 is 1