Greatest Common Factor of 3730 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 3730, 3738 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3730 and 3738 is 2.

GCF(3730,3738) = 2

GCF of 3730 and 3738

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

GCF of:
and

Greatest Common Factor of 3730 and 3738

GCF of 3730 and 3738 is 2

Prime Factorization of 3730


2 3730
5 1865
373 373
1

Prime factors of 3730 are 2,5,373. Prime factorization of 3730 in exponential form is:

3730 = 21×51×3731

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 3730 and 3738 is 2

Greatest Common Factor of 3730 and 3738 by matching factors method

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1,2,5,10,373,746,1865,3730

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 3730 and 3738. The biggest common factor number is the GCF number.
So the greatest common factor 3730 and 3738 is 2.

Also check out the Least Common Multiple of 3730 and 3738

Properties of GCF 3730 and 3738

(i) The GCF of 3730 and 3738 is associative

GCF of 3730 and 3738 = GCF of 3738 and 3730

Frequently Asked Questions on GCF of 3730 and 3738

1. What is the GCF of 3730 and 3738?

Answer: GCF of 3730 and 3738 is 2.

2. What are the Factors of 3730?

Answer: Factors of 3730 are 1, 2, 5, 10, 373, 746, 1865, 3730. There are 8 integers that are factors of 3730. The greatest factor of 3730 is 3730.

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 3730 and 3738?

Answer:

Greatest Common Factor of 3730 and 3738 = 2

Step 1: Find the prime factorization of 3730

3730 = 2 x 5 x 373

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 3730 and 3738 is 2