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 891, 893 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 891 and 893 is 1.
GCF(891,893) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 891
3 | 891 |
3 | 297 |
3 | 99 |
3 | 33 |
11 | 11 |
1 |
Prime factors of 891 are 3,11. Prime factorization of 891 in exponential form is:
891 = 34×111
Prime Factorization of 893
19 | 893 |
47 | 47 |
1 |
Prime factors of 893 are 19,47. Prime factorization of 893 in exponential form is:
893 = 191×471
∴ So by taking common prime factors GCF of 891 and 893 is 1
Factors of 891
List of positive integer factors of 891 that divides 891 without a remainder.
1,3,9,11,27,33,81,99,297,891
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Greatest Common Factor
We found the factors and prime factorization of 891 and 893. The biggest common factor number is the GCF number.
So the greatest common factor 891 and 893 is 1.
Also check out the Least Common Multiple of 891 and 893
(i) The GCF of 891 and 893 is associative
GCF of 891 and 893 = GCF of 893 and 891
1. What is the GCF of 891 and 893?
Answer: GCF of 891 and 893 is 1.
2. What are the Factors of 891?
Answer: Factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891. There are 10 integers that are factors of 891. The greatest factor of 891 is 891.
3. What are the Factors of 893?
Answer: Factors of 893 are 1, 19, 47, 893. There are 4 integers that are factors of 893. The greatest factor of 893 is 893.
4. How to Find the GCF of 891 and 893?
Answer:
Greatest Common Factor of 891 and 893 = 1
Step 1: Find the prime factorization of 891
891 = 3 x 3 x 3 x 3 x 11
Step 2: Find the prime factorization of 893
893 = 19 x 47
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 891 and 893 is 1