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 8897, 8903 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8897 and 8903 is 1.
GCF(8897,8903) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 8903
29 | 8903 |
307 | 307 |
1 |
Prime factors of 8903 are 29,307. Prime factorization of 8903 in exponential form is:
8903 = 291×3071
∴ So by taking common prime factors GCF of 8897 and 8903 is 1
Factors of 8897
List of positive integer factors of 8897 that divides 8897 without a remainder.
1,7,31,41,217,287,1271,8897
Factors of 8903
List of positive integer factors of 8903 that divides 8903 without a remainder.
1,29,307,8903
Greatest Common Factor
We found the factors and prime factorization of 8897 and 8903. The biggest common factor number is the GCF number.
So the greatest common factor 8897 and 8903 is 1.
Also check out the Least Common Multiple of 8897 and 8903
(i) The GCF of 8897 and 8903 is associative
GCF of 8897 and 8903 = GCF of 8903 and 8897
1. What is the GCF of 8897 and 8903?
Answer: GCF of 8897 and 8903 is 1.
2. 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.
3. What are the Factors of 8903?
Answer: Factors of 8903 are 1, 29, 307, 8903. There are 4 integers that are factors of 8903. The greatest factor of 8903 is 8903.
4. How to Find the GCF of 8897 and 8903?
Answer:
Greatest Common Factor of 8897 and 8903 = 1
Step 1: Find the prime factorization of 8897
8897 = 7 x 31 x 41
Step 2: Find the prime factorization of 8903
8903 = 29 x 307
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 8897 and 8903 is 1