Greatest Common Factor of 3884 and 3888

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, 3888 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3884 and 3888 is 4.

GCF(3884,3888) = 4

GCF of 3884 and 3888

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

GCF of:
and

Greatest Common Factor of 3884 and 3888

GCF of 3884 and 3888 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 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

∴ So by taking common prime factors GCF of 3884 and 3888 is 4

Greatest Common Factor of 3884 and 3888 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 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

Greatest Common Factor

We found the factors and prime factorization of 3884 and 3888. The biggest common factor number is the GCF number.
So the greatest common factor 3884 and 3888 is 4.

Also check out the Least Common Multiple of 3884 and 3888

Properties of GCF 3884 and 3888

(i) The GCF of 3884 and 3888 is associative

GCF of 3884 and 3888 = GCF of 3888 and 3884

Related Greatest Common Factor of 3884

Related Greatest Common Factor of 3888

Frequently Asked Questions on GCF of 3884 and 3888

1. What is the GCF of 3884 and 3888?

Answer: GCF of 3884 and 3888 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 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.

4. How to Find the GCF of 3884 and 3888?

Answer:

Greatest Common Factor of 3884 and 3888 = 4

Step 1: Find the prime factorization of 3884

3884 = 2 x 2 x 971

Step 2: 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 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 3888 is 4