Greatest Common Factor of 3738 and 3745

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 3738, 3745 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3738 and 3745 is 7.

GCF(3738,3745) = 7

GCF of 3738 and 3745

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

GCF of:
and

Greatest Common Factor of 3738 and 3745

GCF of 3738 and 3745 is 7

Prime Factorization of 3738


2 3738
3 1869
7 623
89 89
1

Prime factors of 3738 are 2,3,7,89. Prime factorization of 3738 in exponential form is:

3738 = 21×31×71×891

Prime Factorization of 3745


5 3745
7 749
107 107
1

Prime factors of 3745 are 5,7,107. Prime factorization of 3745 in exponential form is:

3745 = 51×71×1071

∴ So by taking common prime factors GCF of 3738 and 3745 is 7

Greatest Common Factor of 3738 and 3745 by matching factors method

Factors of 3738

List of positive integer factors of 3738 that divides 3738 without a remainder.

1,2,3,6,7,14,21,42,89,178,267,534,623,1246,1869,3738

Factors of 3745

List of positive integer factors of 3745 that divides 3745 without a remainder.

1,5,7,35,107,535,749,3745

Greatest Common Factor

We found the factors and prime factorization of 3738 and 3745. The biggest common factor number is the GCF number.
So the greatest common factor 3738 and 3745 is 7.

Also check out the Least Common Multiple of 3738 and 3745

Properties of GCF 3738 and 3745

(i) The GCF of 3738 and 3745 is associative

GCF of 3738 and 3745 = GCF of 3745 and 3738

Related Greatest Common Factor of 3738

Related Greatest Common Factor of 3745

Frequently Asked Questions on GCF of 3738 and 3745

1. What is the GCF of 3738 and 3745?

Answer: GCF of 3738 and 3745 is 7.

2. What are the Factors of 3738?

Answer: Factors of 3738 are 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738. There are 16 integers that are factors of 3738. The greatest factor of 3738 is 3738.

3. What are the Factors of 3745?

Answer: Factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745. There are 8 integers that are factors of 3745. The greatest factor of 3745 is 3745.

4. How to Find the GCF of 3738 and 3745?

Answer:

Greatest Common Factor of 3738 and 3745 = 7

Step 1: Find the prime factorization of 3738

3738 = 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 3745

3745 = 5 x 7 x 107

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 3738 and 3745 is 7