Greatest Common Factor of 3725 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 3725, 3730 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3725 and 3730 is 5.

GCF(3725,3730) = 5

GCF of 3725 and 3730

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

GCF of:
and

Greatest Common Factor of 3725 and 3730

GCF of 3725 and 3730 is 5

Prime Factorization of 3725


5 3725
5 745
149 149
1

Prime factors of 3725 are 5,149. Prime factorization of 3725 in exponential form is:

3725 = 52×1491

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 3725 and 3730 is 5

Greatest Common Factor of 3725 and 3730 by matching factors method

Factors of 3725

List of positive integer factors of 3725 that divides 3725 without a remainder.

1,5,25,149,745,3725

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 3725 and 3730. The biggest common factor number is the GCF number.
So the greatest common factor 3725 and 3730 is 5.

Also check out the Least Common Multiple of 3725 and 3730

Properties of GCF 3725 and 3730

(i) The GCF of 3725 and 3730 is associative

GCF of 3725 and 3730 = GCF of 3730 and 3725

Related Greatest Common Factor of 3725

Related Greatest Common Factor of 3730

Frequently Asked Questions on GCF of 3725 and 3730

1. What is the GCF of 3725 and 3730?

Answer: GCF of 3725 and 3730 is 5.

2. What are the Factors of 3725?

Answer: Factors of 3725 are 1, 5, 25, 149, 745, 3725. There are 6 integers that are factors of 3725. The greatest factor of 3725 is 3725.

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 3725 and 3730?

Answer:

Greatest Common Factor of 3725 and 3730 = 5

Step 1: Find the prime factorization of 3725

3725 = 5 x 5 x 149

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 = 5

Step 4: Therefore, the greatest common factor of 3725 and 3730 is 5