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 8891, 8897 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8891 and 8897 is 1.
GCF(8891,8897) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8891
17 | 8891 |
523 | 523 |
1 |
Prime factors of 8891 are 17,523. Prime factorization of 8891 in exponential form is:
8891 = 171×5231
Prime Factorization of 8897
7 | 8897 |
31 | 1271 |
41 | 41 |
1 |
Prime factors of 8897 are 7,31,41. Prime factorization of 8897 in exponential form is:
8897 = 71×311×411
∴ So by taking common prime factors GCF of 8891 and 8897 is 1
Factors of 8891
List of positive integer factors of 8891 that divides 8891 without a remainder.
1,17,523,8891
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Greatest Common Factor
We found the factors and prime factorization of 8891 and 8897. The biggest common factor number is the GCF number.
So the greatest common factor 8891 and 8897 is 1.
Also check out the Least Common Multiple of 8891 and 8897
(i) The GCF of 8891 and 8897 is associative
GCF of 8891 and 8897 = GCF of 8897 and 8891
1. What is the GCF of 8891 and 8897?
Answer: GCF of 8891 and 8897 is 1.
2. What are the Factors of 8891?
Answer: Factors of 8891 are 1, 17, 523, 8891. There are 4 integers that are factors of 8891. The greatest factor of 8891 is 8891.
3. What are the Factors of 8897?
Answer: Factors of 8897 are 1, 7, 31, 41, 217, 287, 1271, 8897. There are 8 integers that are factors of 8897. The greatest factor of 8897 is 8897.
4. How to Find the GCF of 8891 and 8897?
Answer:
Greatest Common Factor of 8891 and 8897 = 1
Step 1: Find the prime factorization of 8891
8891 = 17 x 523
Step 2: Find the prime factorization of 8897
8897 = 7 x 31 x 41
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 8891 and 8897 is 1