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 9038, 9046 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9038 and 9046 is 2.
GCF(9038,9046) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9038
2 | 9038 |
4519 | 4519 |
1 |
Prime factors of 9038 are 2,4519. Prime factorization of 9038 in exponential form is:
9038 = 21×45191
Prime Factorization of 9046
2 | 9046 |
4523 | 4523 |
1 |
Prime factors of 9046 are 2,4523. Prime factorization of 9046 in exponential form is:
9046 = 21×45231
∴ So by taking common prime factors GCF of 9038 and 9046 is 2
Factors of 9038
List of positive integer factors of 9038 that divides 9038 without a remainder.
1,2,4519,9038
Factors of 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1,2,4523,9046
Greatest Common Factor
We found the factors and prime factorization of 9038 and 9046. The biggest common factor number is the GCF number.
So the greatest common factor 9038 and 9046 is 2.
Also check out the Least Common Multiple of 9038 and 9046
(i) The GCF of 9038 and 9046 is associative
GCF of 9038 and 9046 = GCF of 9046 and 9038
1. What is the GCF of 9038 and 9046?
Answer: GCF of 9038 and 9046 is 2.
2. What are the Factors of 9038?
Answer: Factors of 9038 are 1, 2, 4519, 9038. There are 4 integers that are factors of 9038. The greatest factor of 9038 is 9038.
3. What are the Factors of 9046?
Answer: Factors of 9046 are 1, 2, 4523, 9046. There are 4 integers that are factors of 9046. The greatest factor of 9046 is 9046.
4. How to Find the GCF of 9038 and 9046?
Answer:
Greatest Common Factor of 9038 and 9046 = 2
Step 1: Find the prime factorization of 9038
9038 = 2 x 4519
Step 2: Find the prime factorization of 9046
9046 = 2 x 4523
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2
Step 4: Therefore, the greatest common factor of 9038 and 9046 is 2