Greatest Common Factor of 3750 and 3754

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 3750, 3754 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3750 and 3754 is 2.

GCF(3750,3754) = 2

GCF of 3750 and 3754

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

GCF of:
and

Greatest Common Factor of 3750 and 3754

GCF of 3750 and 3754 is 2

Prime Factorization of 3750


2 3750
3 1875
5 625
5 125
5 25
5 5
1

Prime factors of 3750 are 2,3,5. Prime factorization of 3750 in exponential form is:

3750 = 21×31×54

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

∴ So by taking common prime factors GCF of 3750 and 3754 is 2

Greatest Common Factor of 3750 and 3754 by matching factors method

Factors of 3750

List of positive integer factors of 3750 that divides 3750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,625,750,1250,1875,3750

Factors of 3754

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

1,2,1877,3754

Greatest Common Factor

We found the factors and prime factorization of 3750 and 3754. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3754 is 2.

Also check out the Least Common Multiple of 3750 and 3754

Properties of GCF 3750 and 3754

(i) The GCF of 3750 and 3754 is associative

GCF of 3750 and 3754 = GCF of 3754 and 3750

Related Greatest Common Factor of 3750

Related Greatest Common Factor of 3754

Frequently Asked Questions on GCF of 3750 and 3754

1. What is the GCF of 3750 and 3754?

Answer: GCF of 3750 and 3754 is 2.

2. What are the Factors of 3750?

Answer: Factors of 3750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 625, 750, 1250, 1875, 3750. There are 20 integers that are factors of 3750. The greatest factor of 3750 is 3750.

3. 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.

4. How to Find the GCF of 3750 and 3754?

Answer:

Greatest Common Factor of 3750 and 3754 = 2

Step 1: Find the prime factorization of 3750

3750 = 2 x 3 x 5 x 5 x 5 x 5

Step 2: Find the prime factorization of 3754

3754 = 2 x 1877

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 3750 and 3754 is 2