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 9002, 9003 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9002 and 9003 is 1.
GCF(9002,9003) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9002
2 | 9002 |
7 | 4501 |
643 | 643 |
1 |
Prime factors of 9002 are 2,7,643. Prime factorization of 9002 in exponential form is:
9002 = 21×71×6431
Prime Factorization of 9003
3 | 9003 |
3001 | 3001 |
1 |
Prime factors of 9003 are 3,3001. Prime factorization of 9003 in exponential form is:
9003 = 31×30011
∴ So by taking common prime factors GCF of 9002 and 9003 is 1
Factors of 9002
List of positive integer factors of 9002 that divides 9002 without a remainder.
1,2,7,14,643,1286,4501,9002
Factors of 9003
List of positive integer factors of 9003 that divides 9003 without a remainder.
1,3,3001,9003
Greatest Common Factor
We found the factors and prime factorization of 9002 and 9003. The biggest common factor number is the GCF number.
So the greatest common factor 9002 and 9003 is 1.
Also check out the Least Common Multiple of 9002 and 9003
(i) The GCF of 9002 and 9003 is associative
GCF of 9002 and 9003 = GCF of 9003 and 9002
1. What is the GCF of 9002 and 9003?
Answer: GCF of 9002 and 9003 is 1.
2. What are the Factors of 9002?
Answer: Factors of 9002 are 1, 2, 7, 14, 643, 1286, 4501, 9002. There are 8 integers that are factors of 9002. The greatest factor of 9002 is 9002.
3. What are the Factors of 9003?
Answer: Factors of 9003 are 1, 3, 3001, 9003. There are 4 integers that are factors of 9003. The greatest factor of 9003 is 9003.
4. How to Find the GCF of 9002 and 9003?
Answer:
Greatest Common Factor of 9002 and 9003 = 1
Step 1: Find the prime factorization of 9002
9002 = 2 x 7 x 643
Step 2: Find the prime factorization of 9003
9003 = 3 x 3001
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 9002 and 9003 is 1