Greatest Common Factor of 3946 and 3952

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 3946, 3952 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3946 and 3952 is 2.

GCF(3946,3952) = 2

GCF of 3946 and 3952

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

GCF of:
and

Greatest Common Factor of 3946 and 3952

GCF of 3946 and 3952 is 2

Prime Factorization of 3946


2 3946
1973 1973
1

Prime factors of 3946 are 2,1973. Prime factorization of 3946 in exponential form is:

3946 = 21×19731

Prime Factorization of 3952


2 3952
2 1976
2 988
2 494
13 247
19 19
1

Prime factors of 3952 are 2,13,19. Prime factorization of 3952 in exponential form is:

3952 = 24×131×191

∴ So by taking common prime factors GCF of 3946 and 3952 is 2

Greatest Common Factor of 3946 and 3952 by matching factors method

Factors of 3946

List of positive integer factors of 3946 that divides 3946 without a remainder.

1,2,1973,3946

Factors of 3952

List of positive integer factors of 3952 that divides 3952 without a remainder.

1,2,4,8,13,16,19,26,38,52,76,104,152,208,247,304,494,988,1976,3952

Greatest Common Factor

We found the factors and prime factorization of 3946 and 3952. The biggest common factor number is the GCF number.
So the greatest common factor 3946 and 3952 is 2.

Also check out the Least Common Multiple of 3946 and 3952

Properties of GCF 3946 and 3952

(i) The GCF of 3946 and 3952 is associative

GCF of 3946 and 3952 = GCF of 3952 and 3946

Related Greatest Common Factor of 3946

Related Greatest Common Factor of 3952

Frequently Asked Questions on GCF of 3946 and 3952

1. What is the GCF of 3946 and 3952?

Answer: GCF of 3946 and 3952 is 2.

2. What are the Factors of 3946?

Answer: Factors of 3946 are 1, 2, 1973, 3946. There are 4 integers that are factors of 3946. The greatest factor of 3946 is 3946.

3. What are the Factors of 3952?

Answer: Factors of 3952 are 1, 2, 4, 8, 13, 16, 19, 26, 38, 52, 76, 104, 152, 208, 247, 304, 494, 988, 1976, 3952. There are 20 integers that are factors of 3952. The greatest factor of 3952 is 3952.

4. How to Find the GCF of 3946 and 3952?

Answer:

Greatest Common Factor of 3946 and 3952 = 2

Step 1: Find the prime factorization of 3946

3946 = 2 x 1973

Step 2: Find the prime factorization of 3952

3952 = 2 x 2 x 2 x 2 x 13 x 19

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 3946 and 3952 is 2