Greatest Common Factor of 3921 and 3927

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 3921, 3927 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3921 and 3927 is 3.

GCF(3921,3927) = 3

GCF of 3921 and 3927

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

GCF of:
and

Greatest Common Factor of 3921 and 3927

GCF of 3921 and 3927 is 3

Prime Factorization of 3921


3 3921
1307 1307
1

Prime factors of 3921 are 3,1307. Prime factorization of 3921 in exponential form is:

3921 = 31×13071

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

∴ So by taking common prime factors GCF of 3921 and 3927 is 3

Greatest Common Factor of 3921 and 3927 by matching factors method

Factors of 3921

List of positive integer factors of 3921 that divides 3921 without a remainder.

1,3,1307,3921

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

Greatest Common Factor

We found the factors and prime factorization of 3921 and 3927. The biggest common factor number is the GCF number.
So the greatest common factor 3921 and 3927 is 3.

Also check out the Least Common Multiple of 3921 and 3927

Properties of GCF 3921 and 3927

(i) The GCF of 3921 and 3927 is associative

GCF of 3921 and 3927 = GCF of 3927 and 3921

Related Greatest Common Factor of 3921

Related Greatest Common Factor of 3927

Frequently Asked Questions on GCF of 3921 and 3927

1. What is the GCF of 3921 and 3927?

Answer: GCF of 3921 and 3927 is 3.

2. What are the Factors of 3921?

Answer: Factors of 3921 are 1, 3, 1307, 3921. There are 4 integers that are factors of 3921. The greatest factor of 3921 is 3921.

3. 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.

4. How to Find the GCF of 3921 and 3927?

Answer:

Greatest Common Factor of 3921 and 3927 = 3

Step 1: Find the prime factorization of 3921

3921 = 3 x 1307

Step 2: Find the prime factorization of 3927

3927 = 3 x 7 x 11 x 17

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

GCF = 3

Step 4: Therefore, the greatest common factor of 3921 and 3927 is 3