Greatest Common Factor of 3734 and 3738

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 3734, 3738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3734 and 3738 is 2.

GCF(3734,3738) = 2

GCF of 3734 and 3738

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

GCF of:
and

Greatest Common Factor of 3734 and 3738

GCF of 3734 and 3738 is 2

Prime Factorization of 3734


2 3734
1867 1867
1

Prime factors of 3734 are 2,1867. Prime factorization of 3734 in exponential form is:

3734 = 21×18671

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

∴ So by taking common prime factors GCF of 3734 and 3738 is 2

Greatest Common Factor of 3734 and 3738 by matching factors method

Factors of 3734

List of positive integer factors of 3734 that divides 3734 without a remainder.

1,2,1867,3734

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

Greatest Common Factor

We found the factors and prime factorization of 3734 and 3738. The biggest common factor number is the GCF number.
So the greatest common factor 3734 and 3738 is 2.

Also check out the Least Common Multiple of 3734 and 3738

Properties of GCF 3734 and 3738

(i) The GCF of 3734 and 3738 is associative

GCF of 3734 and 3738 = GCF of 3738 and 3734

Related Greatest Common Factor of 3734

Related Greatest Common Factor of 3738

Frequently Asked Questions on GCF of 3734 and 3738

1. What is the GCF of 3734 and 3738?

Answer: GCF of 3734 and 3738 is 2.

2. What are the Factors of 3734?

Answer: Factors of 3734 are 1, 2, 1867, 3734. There are 4 integers that are factors of 3734. The greatest factor of 3734 is 3734.

3. 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.

4. How to Find the GCF of 3734 and 3738?

Answer:

Greatest Common Factor of 3734 and 3738 = 2

Step 1: Find the prime factorization of 3734

3734 = 2 x 1867

Step 2: Find the prime factorization of 3738

3738 = 2 x 3 x 7 x 89

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3734 and 3738 is 2