Greatest Common Factor of 3752 and 3759

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, 3759 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3752 and 3759 is 7.

GCF(3752,3759) = 7

GCF of 3752 and 3759

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

GCF of:
and

Greatest Common Factor of 3752 and 3759

GCF of 3752 and 3759 is 7

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 3759


3 3759
7 1253
179 179
1

Prime factors of 3759 are 3,7,179. Prime factorization of 3759 in exponential form is:

3759 = 31×71×1791

∴ So by taking common prime factors GCF of 3752 and 3759 is 7

Greatest Common Factor of 3752 and 3759 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 3759

List of positive integer factors of 3759 that divides 3759 without a remainder.

1,3,7,21,179,537,1253,3759

Greatest Common Factor

We found the factors and prime factorization of 3752 and 3759. The biggest common factor number is the GCF number.
So the greatest common factor 3752 and 3759 is 7.

Also check out the Least Common Multiple of 3752 and 3759

Properties of GCF 3752 and 3759

(i) The GCF of 3752 and 3759 is associative

GCF of 3752 and 3759 = GCF of 3759 and 3752

Related Greatest Common Factor of 3752

Related Greatest Common Factor of 3759

Frequently Asked Questions on GCF of 3752 and 3759

1. What is the GCF of 3752 and 3759?

Answer: GCF of 3752 and 3759 is 7.

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 3759?

Answer: Factors of 3759 are 1, 3, 7, 21, 179, 537, 1253, 3759. There are 8 integers that are factors of 3759. The greatest factor of 3759 is 3759.

4. How to Find the GCF of 3752 and 3759?

Answer:

Greatest Common Factor of 3752 and 3759 = 7

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 3759

3759 = 3 x 7 x 179

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3752 and 3759 is 7