Greatest Common Factor of 3762 and 3765

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 3762, 3765 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3762 and 3765 is 3.

GCF(3762,3765) = 3

GCF of 3762 and 3765

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

GCF of:
and

Greatest Common Factor of 3762 and 3765

GCF of 3762 and 3765 is 3

Prime Factorization of 3762


2 3762
3 1881
3 627
11 209
19 19
1

Prime factors of 3762 are 2,3,11,19. Prime factorization of 3762 in exponential form is:

3762 = 21×32×111×191

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

∴ So by taking common prime factors GCF of 3762 and 3765 is 3

Greatest Common Factor of 3762 and 3765 by matching factors method

Factors of 3762

List of positive integer factors of 3762 that divides 3762 without a remainder.

1,2,3,6,9,11,18,19,22,33,38,57,66,99,114,171,198,209,342,418,627,1254,1881,3762

Factors of 3765

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

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

Greatest Common Factor

We found the factors and prime factorization of 3762 and 3765. The biggest common factor number is the GCF number.
So the greatest common factor 3762 and 3765 is 3.

Also check out the Least Common Multiple of 3762 and 3765

Properties of GCF 3762 and 3765

(i) The GCF of 3762 and 3765 is associative

GCF of 3762 and 3765 = GCF of 3765 and 3762

Related Greatest Common Factor of 3762

Related Greatest Common Factor of 3765

Frequently Asked Questions on GCF of 3762 and 3765

1. What is the GCF of 3762 and 3765?

Answer: GCF of 3762 and 3765 is 3.

2. What are the Factors of 3762?

Answer: Factors of 3762 are 1, 2, 3, 6, 9, 11, 18, 19, 22, 33, 38, 57, 66, 99, 114, 171, 198, 209, 342, 418, 627, 1254, 1881, 3762. There are 24 integers that are factors of 3762. The greatest factor of 3762 is 3762.

3. 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.

4. How to Find the GCF of 3762 and 3765?

Answer:

Greatest Common Factor of 3762 and 3765 = 3

Step 1: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

Step 2: Find the prime factorization of 3765

3765 = 3 x 5 x 251

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3762 and 3765 is 3