Greatest Common Factor of 854 and 861

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 854, 861 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 854 and 861 is 7.

GCF(854,861) = 7

GCF of 854 and 861

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

GCF of:
and

Greatest Common Factor of 854 and 861

GCF of 854 and 861 is 7

Prime Factorization of 854


2 854
7 427
61 61
1

Prime factors of 854 are 2,7,61. Prime factorization of 854 in exponential form is:

854 = 21×71×611

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

∴ So by taking common prime factors GCF of 854 and 861 is 7

Greatest Common Factor of 854 and 861 by matching factors method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 861

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

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

Greatest Common Factor

We found the factors and prime factorization of 854 and 861. The biggest common factor number is the GCF number.
So the greatest common factor 854 and 861 is 7.

Also check out the Least Common Multiple of 854 and 861

Properties of GCF 854 and 861

(i) The GCF of 854 and 861 is associative

GCF of 854 and 861 = GCF of 861 and 854

Related Greatest Common Factor of 854

Related Greatest Common Factor of 861

Frequently Asked Questions on GCF of 854 and 861

1. What is the GCF of 854 and 861?

Answer: GCF of 854 and 861 is 7.

2. What are the Factors of 854?

Answer: Factors of 854 are 1, 2, 7, 14, 61, 122, 427, 854. There are 8 integers that are factors of 854. The greatest factor of 854 is 854.

3. 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.

4. How to Find the GCF of 854 and 861?

Answer:

Greatest Common Factor of 854 and 861 = 7

Step 1: Find the prime factorization of 854

854 = 2 x 7 x 61

Step 2: Find the prime factorization of 861

861 = 3 x 7 x 41

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 854 and 861 is 7