Greatest Common Factor of 3952 and 3958

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 3952, 3958 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3952 and 3958 is 2.

GCF(3952,3958) = 2

GCF of 3952 and 3958

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

GCF of:
and

Greatest Common Factor of 3952 and 3958

GCF of 3952 and 3958 is 2

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

Prime Factorization of 3958


2 3958
1979 1979
1

Prime factors of 3958 are 2,1979. Prime factorization of 3958 in exponential form is:

3958 = 21×19791

∴ So by taking common prime factors GCF of 3952 and 3958 is 2

Greatest Common Factor of 3952 and 3958 by matching factors method

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

Factors of 3958

List of positive integer factors of 3958 that divides 3958 without a remainder.

1,2,1979,3958

Greatest Common Factor

We found the factors and prime factorization of 3952 and 3958. The biggest common factor number is the GCF number.
So the greatest common factor 3952 and 3958 is 2.

Also check out the Least Common Multiple of 3952 and 3958

Properties of GCF 3952 and 3958

(i) The GCF of 3952 and 3958 is associative

GCF of 3952 and 3958 = GCF of 3958 and 3952

Related Greatest Common Factor of 3952

Related Greatest Common Factor of 3958

Frequently Asked Questions on GCF of 3952 and 3958

1. What is the GCF of 3952 and 3958?

Answer: GCF of 3952 and 3958 is 2.

2. 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.

3. What are the Factors of 3958?

Answer: Factors of 3958 are 1, 2, 1979, 3958. There are 4 integers that are factors of 3958. The greatest factor of 3958 is 3958.

4. How to Find the GCF of 3952 and 3958?

Answer:

Greatest Common Factor of 3952 and 3958 = 2

Step 1: Find the prime factorization of 3952

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

Step 2: Find the prime factorization of 3958

3958 = 2 x 1979

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 3952 and 3958 is 2