Greatest Common Factor of 3728 and 3730

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 3728, 3730 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3728 and 3730 is 2.

GCF(3728,3730) = 2

GCF of 3728 and 3730

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

GCF of:
and

Greatest Common Factor of 3728 and 3730

GCF of 3728 and 3730 is 2

Prime Factorization of 3728


2 3728
2 1864
2 932
2 466
233 233
1

Prime factors of 3728 are 2,233. Prime factorization of 3728 in exponential form is:

3728 = 24×2331

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

∴ So by taking common prime factors GCF of 3728 and 3730 is 2

Greatest Common Factor of 3728 and 3730 by matching factors method

Factors of 3728

List of positive integer factors of 3728 that divides 3728 without a remainder.

1,2,4,8,16,233,466,932,1864,3728

Factors of 3730

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

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

Greatest Common Factor

We found the factors and prime factorization of 3728 and 3730. The biggest common factor number is the GCF number.
So the greatest common factor 3728 and 3730 is 2.

Also check out the Least Common Multiple of 3728 and 3730

Properties of GCF 3728 and 3730

(i) The GCF of 3728 and 3730 is associative

GCF of 3728 and 3730 = GCF of 3730 and 3728

Related Greatest Common Factor of 3728

Related Greatest Common Factor of 3730

Frequently Asked Questions on GCF of 3728 and 3730

1. What is the GCF of 3728 and 3730?

Answer: GCF of 3728 and 3730 is 2.

2. What are the Factors of 3728?

Answer: Factors of 3728 are 1, 2, 4, 8, 16, 233, 466, 932, 1864, 3728. There are 10 integers that are factors of 3728. The greatest factor of 3728 is 3728.

3. 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.

4. How to Find the GCF of 3728 and 3730?

Answer:

Greatest Common Factor of 3728 and 3730 = 2

Step 1: Find the prime factorization of 3728

3728 = 2 x 2 x 2 x 2 x 233

Step 2: Find the prime factorization of 3730

3730 = 2 x 5 x 373

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 3728 and 3730 is 2