Greatest Common Factor of 3930 and 3938

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 3930, 3938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3930 and 3938 is 2.

GCF(3930,3938) = 2

GCF of 3930 and 3938

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

GCF of:
and

Greatest Common Factor of 3930 and 3938

GCF of 3930 and 3938 is 2

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

Prime Factorization of 3938


2 3938
11 1969
179 179
1

Prime factors of 3938 are 2,11,179. Prime factorization of 3938 in exponential form is:

3938 = 21×111×1791

∴ So by taking common prime factors GCF of 3930 and 3938 is 2

Greatest Common Factor of 3930 and 3938 by matching factors method

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

Factors of 3938

List of positive integer factors of 3938 that divides 3938 without a remainder.

1,2,11,22,179,358,1969,3938

Greatest Common Factor

We found the factors and prime factorization of 3930 and 3938. The biggest common factor number is the GCF number.
So the greatest common factor 3930 and 3938 is 2.

Also check out the Least Common Multiple of 3930 and 3938

Properties of GCF 3930 and 3938

(i) The GCF of 3930 and 3938 is associative

GCF of 3930 and 3938 = GCF of 3938 and 3930

Related Greatest Common Factor of 3930

Related Greatest Common Factor of 3938

Frequently Asked Questions on GCF of 3930 and 3938

1. What is the GCF of 3930 and 3938?

Answer: GCF of 3930 and 3938 is 2.

2. 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.

3. What are the Factors of 3938?

Answer: Factors of 3938 are 1, 2, 11, 22, 179, 358, 1969, 3938. There are 8 integers that are factors of 3938. The greatest factor of 3938 is 3938.

4. How to Find the GCF of 3930 and 3938?

Answer:

Greatest Common Factor of 3930 and 3938 = 2

Step 1: Find the prime factorization of 3930

3930 = 2 x 3 x 5 x 131

Step 2: Find the prime factorization of 3938

3938 = 2 x 11 x 179

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 3930 and 3938 is 2