Greatest Common Factor of 871 and 872

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 871, 872 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 871 and 872 is 1.

GCF(871,872) = 1

GCF of 871 and 872

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

GCF of:
and

Greatest Common Factor of 871 and 872

GCF of 871 and 872 is 1

Prime Factorization of 871


13 871
67 67
1

Prime factors of 871 are 13,67. Prime factorization of 871 in exponential form is:

871 = 131×671

Prime Factorization of 872


2 872
2 436
2 218
109 109
1

Prime factors of 872 are 2,109. Prime factorization of 872 in exponential form is:

872 = 23×1091

∴ So by taking common prime factors GCF of 871 and 872 is 1

Greatest Common Factor of 871 and 872 by matching factors method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors and prime factorization of 871 and 872. The biggest common factor number is the GCF number.
So the greatest common factor 871 and 872 is 1.

Also check out the Least Common Multiple of 871 and 872

Properties of GCF 871 and 872

(i) The GCF of 871 and 872 is associative

GCF of 871 and 872 = GCF of 872 and 871

Related Greatest Common Factor of 871

Related Greatest Common Factor of 872

Frequently Asked Questions on GCF of 871 and 872

1. What is the GCF of 871 and 872?

Answer: GCF of 871 and 872 is 1.

2. What are the Factors of 871?

Answer: Factors of 871 are 1, 13, 67, 871. There are 4 integers that are factors of 871. The greatest factor of 871 is 871.

3. What are the Factors of 872?

Answer: Factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872. There are 8 integers that are factors of 872. The greatest factor of 872 is 872.

4. How to Find the GCF of 871 and 872?

Answer:

Greatest Common Factor of 871 and 872 = 1

Step 1: Find the prime factorization of 871

871 = 13 x 67

Step 2: Find the prime factorization of 872

872 = 2 x 2 x 2 x 109

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 871 and 872 is 1