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 9035, 9041 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9035 and 9041 is 1.
GCF(9035,9041) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9035
5 | 9035 |
13 | 1807 |
139 | 139 |
1 |
Prime factors of 9035 are 5,13,139. Prime factorization of 9035 in exponential form is:
9035 = 51×131×1391
Prime Factorization of 9041
9041 | 9041 |
1 |
Prime factors of 9041 are 9041. Prime factorization of 9041 in exponential form is:
9041 = 90411
∴ So by taking common prime factors GCF of 9035 and 9041 is 1
Factors of 9035
List of positive integer factors of 9035 that divides 9035 without a remainder.
1,5,13,65,139,695,1807,9035
Factors of 9041
List of positive integer factors of 9041 that divides 9041 without a remainder.
1,9041
Greatest Common Factor
We found the factors and prime factorization of 9035 and 9041. The biggest common factor number is the GCF number.
So the greatest common factor 9035 and 9041 is 1.
Also check out the Least Common Multiple of 9035 and 9041
(i) The GCF of 9035 and 9041 is associative
GCF of 9035 and 9041 = GCF of 9041 and 9035
1. What is the GCF of 9035 and 9041?
Answer: GCF of 9035 and 9041 is 1.
2. What are the Factors of 9035?
Answer: Factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035. There are 8 integers that are factors of 9035. The greatest factor of 9035 is 9035.
3. What are the Factors of 9041?
Answer: Factors of 9041 are 1, 9041. There are 2 integers that are factors of 9041. The greatest factor of 9041 is 9041.
4. How to Find the GCF of 9035 and 9041?
Answer:
Greatest Common Factor of 9035 and 9041 = 1
Step 1: Find the prime factorization of 9035
9035 = 5 x 13 x 139
Step 2: Find the prime factorization of 9041
9041 = 9041
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 9035 and 9041 is 1