Greatest Common Factor of 3871 and 3878

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 3871, 3878 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3871 and 3878 is 7.

GCF(3871,3878) = 7

GCF of 3871 and 3878

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

GCF of:
and

Greatest Common Factor of 3871 and 3878

GCF of 3871 and 3878 is 7

Prime Factorization of 3871


7 3871
7 553
79 79
1

Prime factors of 3871 are 7,79. Prime factorization of 3871 in exponential form is:

3871 = 72×791

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

∴ So by taking common prime factors GCF of 3871 and 3878 is 7

Greatest Common Factor of 3871 and 3878 by matching factors method

Factors of 3871

List of positive integer factors of 3871 that divides 3871 without a remainder.

1,7,49,79,553,3871

Factors of 3878

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

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

Greatest Common Factor

We found the factors and prime factorization of 3871 and 3878. The biggest common factor number is the GCF number.
So the greatest common factor 3871 and 3878 is 7.

Also check out the Least Common Multiple of 3871 and 3878

Properties of GCF 3871 and 3878

(i) The GCF of 3871 and 3878 is associative

GCF of 3871 and 3878 = GCF of 3878 and 3871

Related Greatest Common Factor of 3871

Related Greatest Common Factor of 3878

Frequently Asked Questions on GCF of 3871 and 3878

1. What is the GCF of 3871 and 3878?

Answer: GCF of 3871 and 3878 is 7.

2. What are the Factors of 3871?

Answer: Factors of 3871 are 1, 7, 49, 79, 553, 3871. There are 6 integers that are factors of 3871. The greatest factor of 3871 is 3871.

3. 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.

4. How to Find the GCF of 3871 and 3878?

Answer:

Greatest Common Factor of 3871 and 3878 = 7

Step 1: Find the prime factorization of 3871

3871 = 7 x 7 x 79

Step 2: Find the prime factorization of 3878

3878 = 2 x 7 x 277

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

GCF = 7

Step 4: Therefore, the greatest common factor of 3871 and 3878 is 7