Greatest Common Factor of 3752 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 3752, 3756 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3752 and 3756 is 4.

GCF(3752,3756) = 4

GCF of 3752 and 3756

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

GCF of:
and

Greatest Common Factor of 3752 and 3756

GCF of 3752 and 3756 is 4

Prime Factorization of 3752


2 3752
2 1876
2 938
7 469
67 67
1

Prime factors of 3752 are 2,7,67. Prime factorization of 3752 in exponential form is:

3752 = 23×71×671

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 3752 and 3756 is 4

Greatest Common Factor of 3752 and 3756 by matching factors method

Factors of 3752

List of positive integer factors of 3752 that divides 3752 without a remainder.

1,2,4,7,8,14,28,56,67,134,268,469,536,938,1876,3752

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 3752 and 3756. The biggest common factor number is the GCF number.
So the greatest common factor 3752 and 3756 is 4.

Also check out the Least Common Multiple of 3752 and 3756

Properties of GCF 3752 and 3756

(i) The GCF of 3752 and 3756 is associative

GCF of 3752 and 3756 = GCF of 3756 and 3752

Related Greatest Common Factor of 3752

Related Greatest Common Factor of 3756

Frequently Asked Questions on GCF of 3752 and 3756

1. What is the GCF of 3752 and 3756?

Answer: GCF of 3752 and 3756 is 4.

2. What are the Factors of 3752?

Answer: Factors of 3752 are 1, 2, 4, 7, 8, 14, 28, 56, 67, 134, 268, 469, 536, 938, 1876, 3752. There are 16 integers that are factors of 3752. The greatest factor of 3752 is 3752.

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 3752 and 3756?

Answer:

Greatest Common Factor of 3752 and 3756 = 4

Step 1: Find the prime factorization of 3752

3752 = 2 x 2 x 2 x 7 x 67

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 2 = 4

Step 4: Therefore, the greatest common factor of 3752 and 3756 is 4