Greatest Common Factor of 3933 and 3939

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 3933, 3939 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3933 and 3939 is 3.

GCF(3933,3939) = 3

GCF of 3933 and 3939

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

GCF of:
and

Greatest Common Factor of 3933 and 3939

GCF of 3933 and 3939 is 3

Prime Factorization of 3933


3 3933
3 1311
19 437
23 23
1

Prime factors of 3933 are 3,19,23. Prime factorization of 3933 in exponential form is:

3933 = 32×191×231

Prime Factorization of 3939


3 3939
13 1313
101 101
1

Prime factors of 3939 are 3,13,101. Prime factorization of 3939 in exponential form is:

3939 = 31×131×1011

∴ So by taking common prime factors GCF of 3933 and 3939 is 3

Greatest Common Factor of 3933 and 3939 by matching factors method

Factors of 3933

List of positive integer factors of 3933 that divides 3933 without a remainder.

1,3,9,19,23,57,69,171,207,437,1311,3933

Factors of 3939

List of positive integer factors of 3939 that divides 3939 without a remainder.

1,3,13,39,101,303,1313,3939

Greatest Common Factor

We found the factors and prime factorization of 3933 and 3939. The biggest common factor number is the GCF number.
So the greatest common factor 3933 and 3939 is 3.

Also check out the Least Common Multiple of 3933 and 3939

Properties of GCF 3933 and 3939

(i) The GCF of 3933 and 3939 is associative

GCF of 3933 and 3939 = GCF of 3939 and 3933

Related Greatest Common Factor of 3933

Related Greatest Common Factor of 3939

Frequently Asked Questions on GCF of 3933 and 3939

1. What is the GCF of 3933 and 3939?

Answer: GCF of 3933 and 3939 is 3.

2. What are the Factors of 3933?

Answer: Factors of 3933 are 1, 3, 9, 19, 23, 57, 69, 171, 207, 437, 1311, 3933. There are 12 integers that are factors of 3933. The greatest factor of 3933 is 3933.

3. What are the Factors of 3939?

Answer: Factors of 3939 are 1, 3, 13, 39, 101, 303, 1313, 3939. There are 8 integers that are factors of 3939. The greatest factor of 3939 is 3939.

4. How to Find the GCF of 3933 and 3939?

Answer:

Greatest Common Factor of 3933 and 3939 = 3

Step 1: Find the prime factorization of 3933

3933 = 3 x 3 x 19 x 23

Step 2: Find the prime factorization of 3939

3939 = 3 x 13 x 101

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 3933 and 3939 is 3