Greatest Common Factor of 842 and 847

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 842, 847 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 842 and 847 is 1.

GCF(842,847) = 1

GCF of 842 and 847

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

GCF of:
and

Greatest Common Factor of 842 and 847

GCF of 842 and 847 is 1

Prime Factorization of 842


2 842
421 421
1

Prime factors of 842 are 2,421. Prime factorization of 842 in exponential form is:

842 = 21×4211

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

∴ So by taking common prime factors GCF of 842 and 847 is 1

Greatest Common Factor of 842 and 847 by matching factors method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 847

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

1,7,11,77,121,847

Greatest Common Factor

We found the factors and prime factorization of 842 and 847. The biggest common factor number is the GCF number.
So the greatest common factor 842 and 847 is 1.

Also check out the Least Common Multiple of 842 and 847

Properties of GCF 842 and 847

(i) The GCF of 842 and 847 is associative

GCF of 842 and 847 = GCF of 847 and 842

Related Greatest Common Factor of 842

Related Greatest Common Factor of 847

Frequently Asked Questions on GCF of 842 and 847

1. What is the GCF of 842 and 847?

Answer: GCF of 842 and 847 is 1.

2. What are the Factors of 842?

Answer: Factors of 842 are 1, 2, 421, 842. There are 4 integers that are factors of 842. The greatest factor of 842 is 842.

3. 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.

4. How to Find the GCF of 842 and 847?

Answer:

Greatest Common Factor of 842 and 847 = 1

Step 1: Find the prime factorization of 842

842 = 2 x 421

Step 2: Find the prime factorization of 847

847 = 7 x 11 x 11

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 842 and 847 is 1