Greatest Common Factor of 3765 and 3769

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 3765, 3769 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3765 and 3769 is 1.

GCF(3765,3769) = 1

GCF of 3765 and 3769

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

GCF of:
and

Greatest Common Factor of 3765 and 3769

GCF of 3765 and 3769 is 1

Prime Factorization of 3765


3 3765
5 1255
251 251
1

Prime factors of 3765 are 3,5,251. Prime factorization of 3765 in exponential form is:

3765 = 31×51×2511

Prime Factorization of 3769


3769 3769
1

Prime factors of 3769 are 3769. Prime factorization of 3769 in exponential form is:

3769 = 37691

∴ So by taking common prime factors GCF of 3765 and 3769 is 1

Greatest Common Factor of 3765 and 3769 by matching factors method

Factors of 3765

List of positive integer factors of 3765 that divides 3765 without a remainder.

1,3,5,15,251,753,1255,3765

Factors of 3769

List of positive integer factors of 3769 that divides 3769 without a remainder.

1,3769

Greatest Common Factor

We found the factors and prime factorization of 3765 and 3769. The biggest common factor number is the GCF number.
So the greatest common factor 3765 and 3769 is 1.

Also check out the Least Common Multiple of 3765 and 3769

Properties of GCF 3765 and 3769

(i) The GCF of 3765 and 3769 is associative

GCF of 3765 and 3769 = GCF of 3769 and 3765

Related Greatest Common Factor of 3765

Related Greatest Common Factor of 3769

Frequently Asked Questions on GCF of 3765 and 3769

1. What is the GCF of 3765 and 3769?

Answer: GCF of 3765 and 3769 is 1.

2. What are the Factors of 3765?

Answer: Factors of 3765 are 1, 3, 5, 15, 251, 753, 1255, 3765. There are 8 integers that are factors of 3765. The greatest factor of 3765 is 3765.

3. What are the Factors of 3769?

Answer: Factors of 3769 are 1, 3769. There are 2 integers that are factors of 3769. The greatest factor of 3769 is 3769.

4. How to Find the GCF of 3765 and 3769?

Answer:

Greatest Common Factor of 3765 and 3769 = 1

Step 1: Find the prime factorization of 3765

3765 = 3 x 5 x 251

Step 2: Find the prime factorization of 3769

3769 = 3769

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 3765 and 3769 is 1