Greatest Common Factor of 8841 and 8847

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 8841, 8847 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8841 and 8847 is 3.

GCF(8841,8847) = 3

GCF of 8841 and 8847

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

GCF of:
and

Greatest Common Factor of 8841 and 8847

GCF of 8841 and 8847 is 3

Prime Factorization of 8841


3 8841
7 2947
421 421
1

Prime factors of 8841 are 3,7,421. Prime factorization of 8841 in exponential form is:

8841 = 31×71×4211

Prime Factorization of 8847


3 8847
3 2949
983 983
1

Prime factors of 8847 are 3,983. Prime factorization of 8847 in exponential form is:

8847 = 32×9831

∴ So by taking common prime factors GCF of 8841 and 8847 is 3

Greatest Common Factor of 8841 and 8847 by matching factors method

Factors of 8841

List of positive integer factors of 8841 that divides 8841 without a remainder.

1,3,7,21,421,1263,2947,8841

Factors of 8847

List of positive integer factors of 8847 that divides 8847 without a remainder.

1,3,9,983,2949,8847

Greatest Common Factor

We found the factors and prime factorization of 8841 and 8847. The biggest common factor number is the GCF number.
So the greatest common factor 8841 and 8847 is 3.

Also check out the Least Common Multiple of 8841 and 8847

Properties of GCF 8841 and 8847

(i) The GCF of 8841 and 8847 is associative

GCF of 8841 and 8847 = GCF of 8847 and 8841

Frequently Asked Questions on GCF of 8841 and 8847

1. What is the GCF of 8841 and 8847?

Answer: GCF of 8841 and 8847 is 3.

2. What are the Factors of 8841?

Answer: Factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841. There are 8 integers that are factors of 8841. The greatest factor of 8841 is 8841.

3. What are the Factors of 8847?

Answer: Factors of 8847 are 1, 3, 9, 983, 2949, 8847. There are 6 integers that are factors of 8847. The greatest factor of 8847 is 8847.

4. How to Find the GCF of 8841 and 8847?

Answer:

Greatest Common Factor of 8841 and 8847 = 3

Step 1: Find the prime factorization of 8841

8841 = 3 x 7 x 421

Step 2: Find the prime factorization of 8847

8847 = 3 x 3 x 983

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 8841 and 8847 is 3