Greatest Common Factor of 3962 and 3968

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 3962, 3968 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3962 and 3968 is 2.

GCF(3962,3968) = 2

GCF of 3962 and 3968

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

GCF of:
and

Greatest Common Factor of 3962 and 3968

GCF of 3962 and 3968 is 2

Prime Factorization of 3962


2 3962
7 1981
283 283
1

Prime factors of 3962 are 2,7,283. Prime factorization of 3962 in exponential form is:

3962 = 21×71×2831

Prime Factorization of 3968


2 3968
2 1984
2 992
2 496
2 248
2 124
2 62
31 31
1

Prime factors of 3968 are 2,31. Prime factorization of 3968 in exponential form is:

3968 = 27×311

∴ So by taking common prime factors GCF of 3962 and 3968 is 2

Greatest Common Factor of 3962 and 3968 by matching factors method

Factors of 3962

List of positive integer factors of 3962 that divides 3962 without a remainder.

1,2,7,14,283,566,1981,3962

Factors of 3968

List of positive integer factors of 3968 that divides 3968 without a remainder.

1,2,4,8,16,31,32,62,64,124,128,248,496,992,1984,3968

Greatest Common Factor

We found the factors and prime factorization of 3962 and 3968. The biggest common factor number is the GCF number.
So the greatest common factor 3962 and 3968 is 2.

Also check out the Least Common Multiple of 3962 and 3968

Properties of GCF 3962 and 3968

(i) The GCF of 3962 and 3968 is associative

GCF of 3962 and 3968 = GCF of 3968 and 3962

Related Greatest Common Factor of 3962

Related Greatest Common Factor of 3968

Frequently Asked Questions on GCF of 3962 and 3968

1. What is the GCF of 3962 and 3968?

Answer: GCF of 3962 and 3968 is 2.

2. What are the Factors of 3962?

Answer: Factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962. There are 8 integers that are factors of 3962. The greatest factor of 3962 is 3962.

3. What are the Factors of 3968?

Answer: Factors of 3968 are 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 496, 992, 1984, 3968. There are 16 integers that are factors of 3968. The greatest factor of 3968 is 3968.

4. How to Find the GCF of 3962 and 3968?

Answer:

Greatest Common Factor of 3962 and 3968 = 2

Step 1: Find the prime factorization of 3962

3962 = 2 x 7 x 283

Step 2: Find the prime factorization of 3968

3968 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 31

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 3962 and 3968 is 2