Greatest Common Factor of 3754 and 3760

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, 3760 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3754 and 3760 is 2.

GCF(3754,3760) = 2

GCF of 3754 and 3760

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

GCF of:
and

Greatest Common Factor of 3754 and 3760

GCF of 3754 and 3760 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 3760


2 3760
2 1880
2 940
2 470
5 235
47 47
1

Prime factors of 3760 are 2,5,47. Prime factorization of 3760 in exponential form is:

3760 = 24×51×471

∴ So by taking common prime factors GCF of 3754 and 3760 is 2

Greatest Common Factor of 3754 and 3760 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 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors and prime factorization of 3754 and 3760. The biggest common factor number is the GCF number.
So the greatest common factor 3754 and 3760 is 2.

Also check out the Least Common Multiple of 3754 and 3760

Properties of GCF 3754 and 3760

(i) The GCF of 3754 and 3760 is associative

GCF of 3754 and 3760 = GCF of 3760 and 3754

Related Greatest Common Factor of 3754

Related Greatest Common Factor of 3760

Frequently Asked Questions on GCF of 3754 and 3760

1. What is the GCF of 3754 and 3760?

Answer: GCF of 3754 and 3760 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 3760?

Answer: Factors of 3760 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 47, 80, 94, 188, 235, 376, 470, 752, 940, 1880, 3760. There are 20 integers that are factors of 3760. The greatest factor of 3760 is 3760.

4. How to Find the GCF of 3754 and 3760?

Answer:

Greatest Common Factor of 3754 and 3760 = 2

Step 1: Find the prime factorization of 3754

3754 = 2 x 1877

Step 2: Find the prime factorization of 3760

3760 = 2 x 2 x 2 x 2 x 5 x 47

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 3760 is 2