Greatest Common Factor of 5871 and 5876

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 5871, 5876 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5871 and 5876 is 1.

GCF(5871,5876) = 1

GCF of 5871 and 5876

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

GCF of:
and

Greatest Common Factor of 5871 and 5876

GCF of 5871 and 5876 is 1

Prime Factorization of 5871


3 5871
19 1957
103 103
1

Prime factors of 5871 are 3,19,103. Prime factorization of 5871 in exponential form is:

5871 = 31×191×1031

Prime Factorization of 5876


2 5876
2 2938
13 1469
113 113
1

Prime factors of 5876 are 2,13,113. Prime factorization of 5876 in exponential form is:

5876 = 22×131×1131

∴ So by taking common prime factors GCF of 5871 and 5876 is 1

Greatest Common Factor of 5871 and 5876 by matching factors method

Factors of 5871

List of positive integer factors of 5871 that divides 5871 without a remainder.

1,3,19,57,103,309,1957,5871

Factors of 5876

List of positive integer factors of 5876 that divides 5876 without a remainder.

1,2,4,13,26,52,113,226,452,1469,2938,5876

Greatest Common Factor

We found the factors and prime factorization of 5871 and 5876. The biggest common factor number is the GCF number.
So the greatest common factor 5871 and 5876 is 1.

Also check out the Least Common Multiple of 5871 and 5876

Properties of GCF 5871 and 5876

(i) The GCF of 5871 and 5876 is associative

GCF of 5871 and 5876 = GCF of 5876 and 5871

Related Greatest Common Factor of 5871

Related Greatest Common Factor of 5876

Frequently Asked Questions on GCF of 5871 and 5876

1. What is the GCF of 5871 and 5876?

Answer: GCF of 5871 and 5876 is 1.

2. What are the Factors of 5871?

Answer: Factors of 5871 are 1, 3, 19, 57, 103, 309, 1957, 5871. There are 8 integers that are factors of 5871. The greatest factor of 5871 is 5871.

3. What are the Factors of 5876?

Answer: Factors of 5876 are 1, 2, 4, 13, 26, 52, 113, 226, 452, 1469, 2938, 5876. There are 12 integers that are factors of 5876. The greatest factor of 5876 is 5876.

4. How to Find the GCF of 5871 and 5876?

Answer:

Greatest Common Factor of 5871 and 5876 = 1

Step 1: Find the prime factorization of 5871

5871 = 3 x 19 x 103

Step 2: Find the prime factorization of 5876

5876 = 2 x 2 x 13 x 113

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 5871 and 5876 is 1