Greatest Common Factor of 3762 and 3763

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, 3763 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3762 and 3763 is 1.

GCF(3762,3763) = 1

GCF of 3762 and 3763

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

GCF of:
and

Greatest Common Factor of 3762 and 3763

GCF of 3762 and 3763 is 1

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 3763


53 3763
71 71
1

Prime factors of 3763 are 53,71. Prime factorization of 3763 in exponential form is:

3763 = 531×711

∴ So by taking common prime factors GCF of 3762 and 3763 is 1

Greatest Common Factor of 3762 and 3763 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 3763

List of positive integer factors of 3763 that divides 3763 without a remainder.

1,53,71,3763

Greatest Common Factor

We found the factors and prime factorization of 3762 and 3763. The biggest common factor number is the GCF number.
So the greatest common factor 3762 and 3763 is 1.

Also check out the Least Common Multiple of 3762 and 3763

Properties of GCF 3762 and 3763

(i) The GCF of 3762 and 3763 is associative

GCF of 3762 and 3763 = GCF of 3763 and 3762

Related Greatest Common Factor of 3762

Related Greatest Common Factor of 3763

Frequently Asked Questions on GCF of 3762 and 3763

1. What is the GCF of 3762 and 3763?

Answer: GCF of 3762 and 3763 is 1.

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 3763?

Answer: Factors of 3763 are 1, 53, 71, 3763. There are 4 integers that are factors of 3763. The greatest factor of 3763 is 3763.

4. How to Find the GCF of 3762 and 3763?

Answer:

Greatest Common Factor of 3762 and 3763 = 1

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 3763

3763 = 53 x 71

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 3762 and 3763 is 1