Greatest Common Factor of 861 and 863

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 861, 863 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 861 and 863 is 1.

GCF(861,863) = 1

GCF of 861 and 863

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

GCF of:
and

Greatest Common Factor of 861 and 863

GCF of 861 and 863 is 1

Prime Factorization of 861


3 861
7 287
41 41
1

Prime factors of 861 are 3,7,41. Prime factorization of 861 in exponential form is:

861 = 31×71×411

Prime Factorization of 863


863 863
1

Prime factors of 863 are 863. Prime factorization of 863 in exponential form is:

863 = 8631

∴ So by taking common prime factors GCF of 861 and 863 is 1

Greatest Common Factor of 861 and 863 by matching factors method

Factors of 861

List of positive integer factors of 861 that divides 861 without a remainder.

1,3,7,21,41,123,287,861

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Greatest Common Factor

We found the factors and prime factorization of 861 and 863. The biggest common factor number is the GCF number.
So the greatest common factor 861 and 863 is 1.

Also check out the Least Common Multiple of 861 and 863

Properties of GCF 861 and 863

(i) The GCF of 861 and 863 is associative

GCF of 861 and 863 = GCF of 863 and 861

Related Greatest Common Factor of 861

Related Greatest Common Factor of 863

Frequently Asked Questions on GCF of 861 and 863

1. What is the GCF of 861 and 863?

Answer: GCF of 861 and 863 is 1.

2. What are the Factors of 861?

Answer: Factors of 861 are 1, 3, 7, 21, 41, 123, 287, 861. There are 8 integers that are factors of 861. The greatest factor of 861 is 861.

3. What are the Factors of 863?

Answer: Factors of 863 are 1, 863. There are 2 integers that are factors of 863. The greatest factor of 863 is 863.

4. How to Find the GCF of 861 and 863?

Answer:

Greatest Common Factor of 861 and 863 = 1

Step 1: Find the prime factorization of 861

861 = 3 x 7 x 41

Step 2: Find the prime factorization of 863

863 = 863

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 861 and 863 is 1