Greatest Common Factor of 3750 and 3756

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, 3756 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3750 and 3756 is 6.

GCF(3750,3756) = 6

GCF of 3750 and 3756

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

GCF of:
and

Greatest Common Factor of 3750 and 3756

GCF of 3750 and 3756 is 6

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 3756


2 3756
2 1878
3 939
313 313
1

Prime factors of 3756 are 2,3,313. Prime factorization of 3756 in exponential form is:

3756 = 22×31×3131

∴ So by taking common prime factors GCF of 3750 and 3756 is 6

Greatest Common Factor of 3750 and 3756 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 3756

List of positive integer factors of 3756 that divides 3756 without a remainder.

1,2,3,4,6,12,313,626,939,1252,1878,3756

Greatest Common Factor

We found the factors and prime factorization of 3750 and 3756. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3756 is 6.

Also check out the Least Common Multiple of 3750 and 3756

Properties of GCF 3750 and 3756

(i) The GCF of 3750 and 3756 is associative

GCF of 3750 and 3756 = GCF of 3756 and 3750

Related Greatest Common Factor of 3750

Related Greatest Common Factor of 3756

Frequently Asked Questions on GCF of 3750 and 3756

1. What is the GCF of 3750 and 3756?

Answer: GCF of 3750 and 3756 is 6.

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 3756?

Answer: Factors of 3756 are 1, 2, 3, 4, 6, 12, 313, 626, 939, 1252, 1878, 3756. There are 12 integers that are factors of 3756. The greatest factor of 3756 is 3756.

4. How to Find the GCF of 3750 and 3756?

Answer:

Greatest Common Factor of 3750 and 3756 = 6

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 3756

3756 = 2 x 2 x 3 x 313

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 3750 and 3756 is 6