Greatest Common Factor of 3878 and 3884

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 3878, 3884 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3878 and 3884 is 2.

GCF(3878,3884) = 2

GCF of 3878 and 3884

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

GCF of:
and

Greatest Common Factor of 3878 and 3884

GCF of 3878 and 3884 is 2

Prime Factorization of 3878


2 3878
7 1939
277 277
1

Prime factors of 3878 are 2,7,277. Prime factorization of 3878 in exponential form is:

3878 = 21×71×2771

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

∴ So by taking common prime factors GCF of 3878 and 3884 is 2

Greatest Common Factor of 3878 and 3884 by matching factors method

Factors of 3878

List of positive integer factors of 3878 that divides 3878 without a remainder.

1,2,7,14,277,554,1939,3878

Factors of 3884

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

1,2,4,971,1942,3884

Greatest Common Factor

We found the factors and prime factorization of 3878 and 3884. The biggest common factor number is the GCF number.
So the greatest common factor 3878 and 3884 is 2.

Also check out the Least Common Multiple of 3878 and 3884

Properties of GCF 3878 and 3884

(i) The GCF of 3878 and 3884 is associative

GCF of 3878 and 3884 = GCF of 3884 and 3878

Related Greatest Common Factor of 3878

Related Greatest Common Factor of 3884

Frequently Asked Questions on GCF of 3878 and 3884

1. What is the GCF of 3878 and 3884?

Answer: GCF of 3878 and 3884 is 2.

2. What are the Factors of 3878?

Answer: Factors of 3878 are 1, 2, 7, 14, 277, 554, 1939, 3878. There are 8 integers that are factors of 3878. The greatest factor of 3878 is 3878.

3. 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.

4. How to Find the GCF of 3878 and 3884?

Answer:

Greatest Common Factor of 3878 and 3884 = 2

Step 1: Find the prime factorization of 3878

3878 = 2 x 7 x 277

Step 2: Find the prime factorization of 3884

3884 = 2 x 2 x 971

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 3878 and 3884 is 2