Greatest Common Factor of 847 and 854

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 847, 854 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 847 and 854 is 7.

GCF(847,854) = 7

GCF of 847 and 854

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

GCF of:
and

Greatest Common Factor of 847 and 854

GCF of 847 and 854 is 7

Prime Factorization of 847


7 847
11 121
11 11
1

Prime factors of 847 are 7,11. Prime factorization of 847 in exponential form is:

847 = 71×112

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

∴ So by taking common prime factors GCF of 847 and 854 is 7

Greatest Common Factor of 847 and 854 by matching factors method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 854

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

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

Greatest Common Factor

We found the factors and prime factorization of 847 and 854. The biggest common factor number is the GCF number.
So the greatest common factor 847 and 854 is 7.

Also check out the Least Common Multiple of 847 and 854

Properties of GCF 847 and 854

(i) The GCF of 847 and 854 is associative

GCF of 847 and 854 = GCF of 854 and 847

Related Greatest Common Factor of 847

Related Greatest Common Factor of 854

Frequently Asked Questions on GCF of 847 and 854

1. What is the GCF of 847 and 854?

Answer: GCF of 847 and 854 is 7.

2. What are the Factors of 847?

Answer: Factors of 847 are 1, 7, 11, 77, 121, 847. There are 6 integers that are factors of 847. The greatest factor of 847 is 847.

3. 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.

4. How to Find the GCF of 847 and 854?

Answer:

Greatest Common Factor of 847 and 854 = 7

Step 1: Find the prime factorization of 847

847 = 7 x 11 x 11

Step 2: Find the prime factorization of 854

854 = 2 x 7 x 61

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 847 and 854 is 7