Greatest Common Factor of 3927 and 3934

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 3927, 3934 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3927 and 3934 is 7.

GCF(3927,3934) = 7

GCF of 3927 and 3934

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

GCF of:
and

Greatest Common Factor of 3927 and 3934

GCF of 3927 and 3934 is 7

Prime Factorization of 3927


3 3927
7 1309
11 187
17 17
1

Prime factors of 3927 are 3,7,11,17. Prime factorization of 3927 in exponential form is:

3927 = 31×71×111×171

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

∴ So by taking common prime factors GCF of 3927 and 3934 is 7

Greatest Common Factor of 3927 and 3934 by matching factors method

Factors of 3927

List of positive integer factors of 3927 that divides 3927 without a remainder.

1,3,7,11,17,21,33,51,77,119,187,231,357,561,1309,3927

Factors of 3934

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

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

Greatest Common Factor

We found the factors and prime factorization of 3927 and 3934. The biggest common factor number is the GCF number.
So the greatest common factor 3927 and 3934 is 7.

Also check out the Least Common Multiple of 3927 and 3934

Properties of GCF 3927 and 3934

(i) The GCF of 3927 and 3934 is associative

GCF of 3927 and 3934 = GCF of 3934 and 3927

Related Greatest Common Factor of 3927

Related Greatest Common Factor of 3934

Frequently Asked Questions on GCF of 3927 and 3934

1. What is the GCF of 3927 and 3934?

Answer: GCF of 3927 and 3934 is 7.

2. What are the Factors of 3927?

Answer: Factors of 3927 are 1, 3, 7, 11, 17, 21, 33, 51, 77, 119, 187, 231, 357, 561, 1309, 3927. There are 16 integers that are factors of 3927. The greatest factor of 3927 is 3927.

3. 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.

4. How to Find the GCF of 3927 and 3934?

Answer:

Greatest Common Factor of 3927 and 3934 = 7

Step 1: Find the prime factorization of 3927

3927 = 3 x 7 x 11 x 17

Step 2: Find the prime factorization of 3934

3934 = 2 x 7 x 281

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3927 and 3934 is 7