Greatest Common Factor of 3896 and 3902

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 3896, 3902 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3896 and 3902 is 2.

GCF(3896,3902) = 2

GCF of 3896 and 3902

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

GCF of:
and

Greatest Common Factor of 3896 and 3902

GCF of 3896 and 3902 is 2

Prime Factorization of 3896


2 3896
2 1948
2 974
487 487
1

Prime factors of 3896 are 2,487. Prime factorization of 3896 in exponential form is:

3896 = 23×4871

Prime Factorization of 3902


2 3902
1951 1951
1

Prime factors of 3902 are 2,1951. Prime factorization of 3902 in exponential form is:

3902 = 21×19511

∴ So by taking common prime factors GCF of 3896 and 3902 is 2

Greatest Common Factor of 3896 and 3902 by matching factors method

Factors of 3896

List of positive integer factors of 3896 that divides 3896 without a remainder.

1,2,4,8,487,974,1948,3896

Factors of 3902

List of positive integer factors of 3902 that divides 3902 without a remainder.

1,2,1951,3902

Greatest Common Factor

We found the factors and prime factorization of 3896 and 3902. The biggest common factor number is the GCF number.
So the greatest common factor 3896 and 3902 is 2.

Also check out the Least Common Multiple of 3896 and 3902

Properties of GCF 3896 and 3902

(i) The GCF of 3896 and 3902 is associative

GCF of 3896 and 3902 = GCF of 3902 and 3896

Related Greatest Common Factor of 3896

Related Greatest Common Factor of 3902

Frequently Asked Questions on GCF of 3896 and 3902

1. What is the GCF of 3896 and 3902?

Answer: GCF of 3896 and 3902 is 2.

2. What are the Factors of 3896?

Answer: Factors of 3896 are 1, 2, 4, 8, 487, 974, 1948, 3896. There are 8 integers that are factors of 3896. The greatest factor of 3896 is 3896.

3. What are the Factors of 3902?

Answer: Factors of 3902 are 1, 2, 1951, 3902. There are 4 integers that are factors of 3902. The greatest factor of 3902 is 3902.

4. How to Find the GCF of 3896 and 3902?

Answer:

Greatest Common Factor of 3896 and 3902 = 2

Step 1: Find the prime factorization of 3896

3896 = 2 x 2 x 2 x 487

Step 2: Find the prime factorization of 3902

3902 = 2 x 1951

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 3896 and 3902 is 2