Greatest Common Factor of 3750 and 3755

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, 3755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3750 and 3755 is 5.

GCF(3750,3755) = 5

GCF of 3750 and 3755

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

GCF of:
and

Greatest Common Factor of 3750 and 3755

GCF of 3750 and 3755 is 5

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 3755


5 3755
751 751
1

Prime factors of 3755 are 5,751. Prime factorization of 3755 in exponential form is:

3755 = 51×7511

∴ So by taking common prime factors GCF of 3750 and 3755 is 5

Greatest Common Factor of 3750 and 3755 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 3755

List of positive integer factors of 3755 that divides 3755 without a remainder.

1,5,751,3755

Greatest Common Factor

We found the factors and prime factorization of 3750 and 3755. The biggest common factor number is the GCF number.
So the greatest common factor 3750 and 3755 is 5.

Also check out the Least Common Multiple of 3750 and 3755

Properties of GCF 3750 and 3755

(i) The GCF of 3750 and 3755 is associative

GCF of 3750 and 3755 = GCF of 3755 and 3750

Related Greatest Common Factor of 3750

Related Greatest Common Factor of 3755

Frequently Asked Questions on GCF of 3750 and 3755

1. What is the GCF of 3750 and 3755?

Answer: GCF of 3750 and 3755 is 5.

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 3755?

Answer: Factors of 3755 are 1, 5, 751, 3755. There are 4 integers that are factors of 3755. The greatest factor of 3755 is 3755.

4. How to Find the GCF of 3750 and 3755?

Answer:

Greatest Common Factor of 3750 and 3755 = 5

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 3755

3755 = 5 x 751

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

GCF = 5

Step 4: Therefore, the greatest common factor of 3750 and 3755 is 5