Greatest Common Factor of 3754 and 3762

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 3754, 3762 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3754 and 3762 is 2.

GCF(3754,3762) = 2

GCF of 3754 and 3762

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

GCF of:
and

Greatest Common Factor of 3754 and 3762

GCF of 3754 and 3762 is 2

Prime Factorization of 3754


2 3754
1877 1877
1

Prime factors of 3754 are 2,1877. Prime factorization of 3754 in exponential form is:

3754 = 21×18771

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

∴ So by taking common prime factors GCF of 3754 and 3762 is 2

Greatest Common Factor of 3754 and 3762 by matching factors method

Factors of 3754

List of positive integer factors of 3754 that divides 3754 without a remainder.

1,2,1877,3754

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

Greatest Common Factor

We found the factors and prime factorization of 3754 and 3762. The biggest common factor number is the GCF number.
So the greatest common factor 3754 and 3762 is 2.

Also check out the Least Common Multiple of 3754 and 3762

Properties of GCF 3754 and 3762

(i) The GCF of 3754 and 3762 is associative

GCF of 3754 and 3762 = GCF of 3762 and 3754

Related Greatest Common Factor of 3754

Related Greatest Common Factor of 3762

Frequently Asked Questions on GCF of 3754 and 3762

1. What is the GCF of 3754 and 3762?

Answer: GCF of 3754 and 3762 is 2.

2. What are the Factors of 3754?

Answer: Factors of 3754 are 1, 2, 1877, 3754. There are 4 integers that are factors of 3754. The greatest factor of 3754 is 3754.

3. 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.

4. How to Find the GCF of 3754 and 3762?

Answer:

Greatest Common Factor of 3754 and 3762 = 2

Step 1: Find the prime factorization of 3754

3754 = 2 x 1877

Step 2: Find the prime factorization of 3762

3762 = 2 x 3 x 3 x 11 x 19

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3754 and 3762 is 2