Greatest Common Factor of 3884 and 3892

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 3884, 3892 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3884 and 3892 is 4.

GCF(3884,3892) = 4

GCF of 3884 and 3892

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

GCF of:
and

Greatest Common Factor of 3884 and 3892

GCF of 3884 and 3892 is 4

Prime Factorization of 3884


2 3884
2 1942
971 971
1

Prime factors of 3884 are 2,971. Prime factorization of 3884 in exponential form is:

3884 = 22×9711

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

∴ So by taking common prime factors GCF of 3884 and 3892 is 4

Greatest Common Factor of 3884 and 3892 by matching factors method

Factors of 3884

List of positive integer factors of 3884 that divides 3884 without a remainder.

1,2,4,971,1942,3884

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

Greatest Common Factor

We found the factors and prime factorization of 3884 and 3892. The biggest common factor number is the GCF number.
So the greatest common factor 3884 and 3892 is 4.

Also check out the Least Common Multiple of 3884 and 3892

Properties of GCF 3884 and 3892

(i) The GCF of 3884 and 3892 is associative

GCF of 3884 and 3892 = GCF of 3892 and 3884

Related Greatest Common Factor of 3884

Related Greatest Common Factor of 3892

Frequently Asked Questions on GCF of 3884 and 3892

1. What is the GCF of 3884 and 3892?

Answer: GCF of 3884 and 3892 is 4.

2. What are the Factors of 3884?

Answer: Factors of 3884 are 1, 2, 4, 971, 1942, 3884. There are 6 integers that are factors of 3884. The greatest factor of 3884 is 3884.

3. 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.

4. How to Find the GCF of 3884 and 3892?

Answer:

Greatest Common Factor of 3884 and 3892 = 4

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: Find the prime factorization of 3892

3892 = 2 x 2 x 7 x 139

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 3884 and 3892 is 4