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 8937, 8945 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 8937 and 8945 is 1.
GCF(8937,8945) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 8937
3 | 8937 |
3 | 2979 |
3 | 993 |
331 | 331 |
1 |
Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:
8937 = 33×3311
Prime Factorization of 8945
5 | 8945 |
1789 | 1789 |
1 |
Prime factors of 8945 are 5,1789. Prime factorization of 8945 in exponential form is:
8945 = 51×17891
∴ So by taking common prime factors GCF of 8937 and 8945 is 1
Factors of 8937
List of positive integer factors of 8937 that divides 8937 without a remainder.
1,3,9,27,331,993,2979,8937
Factors of 8945
List of positive integer factors of 8945 that divides 8945 without a remainder.
1,5,1789,8945
Greatest Common Factor
We found the factors and prime factorization of 8937 and 8945. The biggest common factor number is the GCF number.
So the greatest common factor 8937 and 8945 is 1.
Also check out the Least Common Multiple of 8937 and 8945
(i) The GCF of 8937 and 8945 is associative
GCF of 8937 and 8945 = GCF of 8945 and 8937
1. What is the GCF of 8937 and 8945?
Answer: GCF of 8937 and 8945 is 1.
2. What are the Factors of 8937?
Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.
3. What are the Factors of 8945?
Answer: Factors of 8945 are 1, 5, 1789, 8945. There are 4 integers that are factors of 8945. The greatest factor of 8945 is 8945.
4. How to Find the GCF of 8937 and 8945?
Answer:
Greatest Common Factor of 8937 and 8945 = 1
Step 1: Find the prime factorization of 8937
8937 = 3 x 3 x 3 x 331
Step 2: Find the prime factorization of 8945
8945 = 5 x 1789
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 8937 and 8945 is 1