Greatest Common Factor of 3944 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 3944, 3952 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3944 and 3952 is 8.

GCF(3944,3952) = 8

GCF of 3944 and 3952

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

GCF of:
and

Greatest Common Factor of 3944 and 3952

GCF of 3944 and 3952 is 8

Prime Factorization of 3944


2 3944
2 1972
2 986
17 493
29 29
1

Prime factors of 3944 are 2,17,29. Prime factorization of 3944 in exponential form is:

3944 = 23×171×291

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 3944 and 3952 is 8

Greatest Common Factor of 3944 and 3952 by matching factors method

Factors of 3944

List of positive integer factors of 3944 that divides 3944 without a remainder.

1,2,4,8,17,29,34,58,68,116,136,232,493,986,1972,3944

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 3944 and 3952. The biggest common factor number is the GCF number.
So the greatest common factor 3944 and 3952 is 8.

Also check out the Least Common Multiple of 3944 and 3952

Properties of GCF 3944 and 3952

(i) The GCF of 3944 and 3952 is associative

GCF of 3944 and 3952 = GCF of 3952 and 3944

Related Greatest Common Factor of 3944

Related Greatest Common Factor of 3952

Frequently Asked Questions on GCF of 3944 and 3952

1. What is the GCF of 3944 and 3952?

Answer: GCF of 3944 and 3952 is 8.

2. What are the Factors of 3944?

Answer: Factors of 3944 are 1, 2, 4, 8, 17, 29, 34, 58, 68, 116, 136, 232, 493, 986, 1972, 3944. There are 16 integers that are factors of 3944. The greatest factor of 3944 is 3944.

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 3944 and 3952?

Answer:

Greatest Common Factor of 3944 and 3952 = 8

Step 1: Find the prime factorization of 3944

3944 = 2 x 2 x 2 x 17 x 29

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 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 3944 and 3952 is 8