Greatest Common Factor of 3925 and 3930

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 3925, 3930 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3925 and 3930 is 5.

GCF(3925,3930) = 5

GCF of 3925 and 3930

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

GCF of:
and

Greatest Common Factor of 3925 and 3930

GCF of 3925 and 3930 is 5

Prime Factorization of 3925


5 3925
5 785
157 157
1

Prime factors of 3925 are 5,157. Prime factorization of 3925 in exponential form is:

3925 = 52×1571

Prime Factorization of 3930


2 3930
3 1965
5 655
131 131
1

Prime factors of 3930 are 2,3,5,131. Prime factorization of 3930 in exponential form is:

3930 = 21×31×51×1311

∴ So by taking common prime factors GCF of 3925 and 3930 is 5

Greatest Common Factor of 3925 and 3930 by matching factors method

Factors of 3925

List of positive integer factors of 3925 that divides 3925 without a remainder.

1,5,25,157,785,3925

Factors of 3930

List of positive integer factors of 3930 that divides 3930 without a remainder.

1,2,3,5,6,10,15,30,131,262,393,655,786,1310,1965,3930

Greatest Common Factor

We found the factors and prime factorization of 3925 and 3930. The biggest common factor number is the GCF number.
So the greatest common factor 3925 and 3930 is 5.

Also check out the Least Common Multiple of 3925 and 3930

Properties of GCF 3925 and 3930

(i) The GCF of 3925 and 3930 is associative

GCF of 3925 and 3930 = GCF of 3930 and 3925

Related Greatest Common Factor of 3925

Related Greatest Common Factor of 3930

Frequently Asked Questions on GCF of 3925 and 3930

1. What is the GCF of 3925 and 3930?

Answer: GCF of 3925 and 3930 is 5.

2. What are the Factors of 3925?

Answer: Factors of 3925 are 1, 5, 25, 157, 785, 3925. There are 6 integers that are factors of 3925. The greatest factor of 3925 is 3925.

3. What are the Factors of 3930?

Answer: Factors of 3930 are 1, 2, 3, 5, 6, 10, 15, 30, 131, 262, 393, 655, 786, 1310, 1965, 3930. There are 16 integers that are factors of 3930. The greatest factor of 3930 is 3930.

4. How to Find the GCF of 3925 and 3930?

Answer:

Greatest Common Factor of 3925 and 3930 = 5

Step 1: Find the prime factorization of 3925

3925 = 5 x 5 x 157

Step 2: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

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 3925 and 3930 is 5