Greatest Common Factor of 3888 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 3888, 3892 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3888 and 3892 is 4.

GCF(3888,3892) = 4

GCF of 3888 and 3892

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

GCF of:
and

Greatest Common Factor of 3888 and 3892

GCF of 3888 and 3892 is 4

Prime Factorization of 3888


2 3888
2 1944
2 972
2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 3888 are 2,3. Prime factorization of 3888 in exponential form is:

3888 = 24×35

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 3888 and 3892 is 4

Greatest Common Factor of 3888 and 3892 by matching factors method

Factors of 3888

List of positive integer factors of 3888 that divides 3888 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,81,108,144,162,216,243,324,432,486,648,972,1296,1944,3888

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 3888 and 3892. The biggest common factor number is the GCF number.
So the greatest common factor 3888 and 3892 is 4.

Also check out the Least Common Multiple of 3888 and 3892

Properties of GCF 3888 and 3892

(i) The GCF of 3888 and 3892 is associative

GCF of 3888 and 3892 = GCF of 3892 and 3888

Related Greatest Common Factor of 3888

Related Greatest Common Factor of 3892

Frequently Asked Questions on GCF of 3888 and 3892

1. What is the GCF of 3888 and 3892?

Answer: GCF of 3888 and 3892 is 4.

2. What are the Factors of 3888?

Answer: Factors of 3888 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 81, 108, 144, 162, 216, 243, 324, 432, 486, 648, 972, 1296, 1944, 3888. There are 30 integers that are factors of 3888. The greatest factor of 3888 is 3888.

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 3888 and 3892?

Answer:

Greatest Common Factor of 3888 and 3892 = 4

Step 1: Find the prime factorization of 3888

3888 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3

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 3888 and 3892 is 4