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
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
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
(i) The GCF of 8841 and 8847 is associative
GCF of 8841 and 8847 = GCF of 8847 and 8841
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