Greatest Common Factor of 3892 and 3896

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 3892, 3896 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3892 and 3896 is 4.

GCF(3892,3896) = 4

GCF of 3892 and 3896

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

GCF of:
and

Greatest Common Factor of 3892 and 3896

GCF of 3892 and 3896 is 4

Prime Factorization of 3892


2 3892
2 1946
7 973
139 139
1

Prime factors of 3892 are 2,7,139. Prime factorization of 3892 in exponential form is:

3892 = 22×71×1391

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

∴ So by taking common prime factors GCF of 3892 and 3896 is 4

Greatest Common Factor of 3892 and 3896 by matching factors method

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1,2,4,7,14,28,139,278,556,973,1946,3892

Factors of 3896

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

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

Greatest Common Factor

We found the factors and prime factorization of 3892 and 3896. The biggest common factor number is the GCF number.
So the greatest common factor 3892 and 3896 is 4.

Also check out the Least Common Multiple of 3892 and 3896

Properties of GCF 3892 and 3896

(i) The GCF of 3892 and 3896 is associative

GCF of 3892 and 3896 = GCF of 3896 and 3892

Related Greatest Common Factor of 3892

Related Greatest Common Factor of 3896

Frequently Asked Questions on GCF of 3892 and 3896

1. What is the GCF of 3892 and 3896?

Answer: GCF of 3892 and 3896 is 4.

2. What are the Factors of 3892?

Answer: Factors of 3892 are 1, 2, 4, 7, 14, 28, 139, 278, 556, 973, 1946, 3892. There are 12 integers that are factors of 3892. The greatest factor of 3892 is 3892.

3. 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.

4. How to Find the GCF of 3892 and 3896?

Answer:

Greatest Common Factor of 3892 and 3896 = 4

Step 1: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

Step 2: Find the prime factorization of 3896

3896 = 2 x 2 x 2 x 487

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3892 and 3896 is 4