Greatest Common Factor of 3934 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 3934, 3938 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3934 and 3938 is 2.

GCF(3934,3938) = 2

GCF of 3934 and 3938

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

GCF of:
and

Greatest Common Factor of 3934 and 3938

GCF of 3934 and 3938 is 2

Prime Factorization of 3934


2 3934
7 1967
281 281
1

Prime factors of 3934 are 2,7,281. Prime factorization of 3934 in exponential form is:

3934 = 21×71×2811

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 3934 and 3938 is 2

Greatest Common Factor of 3934 and 3938 by matching factors method

Factors of 3934

List of positive integer factors of 3934 that divides 3934 without a remainder.

1,2,7,14,281,562,1967,3934

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 3934 and 3938. The biggest common factor number is the GCF number.
So the greatest common factor 3934 and 3938 is 2.

Also check out the Least Common Multiple of 3934 and 3938

Properties of GCF 3934 and 3938

(i) The GCF of 3934 and 3938 is associative

GCF of 3934 and 3938 = GCF of 3938 and 3934

Related Greatest Common Factor of 3934

Related Greatest Common Factor of 3938

Frequently Asked Questions on GCF of 3934 and 3938

1. What is the GCF of 3934 and 3938?

Answer: GCF of 3934 and 3938 is 2.

2. What are the Factors of 3934?

Answer: Factors of 3934 are 1, 2, 7, 14, 281, 562, 1967, 3934. There are 8 integers that are factors of 3934. The greatest factor of 3934 is 3934.

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 3934 and 3938?

Answer:

Greatest Common Factor of 3934 and 3938 = 2

Step 1: Find the prime factorization of 3934

3934 = 2 x 7 x 281

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 3934 and 3938 is 2