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 9046, 9054 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9046 and 9054 is 2.
GCF(9046,9054) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9054
2 | 9054 |
3 | 4527 |
3 | 1509 |
503 | 503 |
1 |
Prime factors of 9054 are 2,3,503. Prime factorization of 9054 in exponential form is:
9054 = 21×32×5031
∴ So by taking common prime factors GCF of 9046 and 9054 is 2
Factors of 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1,2,4523,9046
Factors of 9054
List of positive integer factors of 9054 that divides 9054 without a remainder.
1,2,3,6,9,18,503,1006,1509,3018,4527,9054
Greatest Common Factor
We found the factors and prime factorization of 9046 and 9054. The biggest common factor number is the GCF number.
So the greatest common factor 9046 and 9054 is 2.
Also check out the Least Common Multiple of 9046 and 9054
(i) The GCF of 9046 and 9054 is associative
GCF of 9046 and 9054 = GCF of 9054 and 9046
1. What is the GCF of 9046 and 9054?
Answer: GCF of 9046 and 9054 is 2.
2. 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.
3. What are the Factors of 9054?
Answer: Factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054. There are 12 integers that are factors of 9054. The greatest factor of 9054 is 9054.
4. How to Find the GCF of 9046 and 9054?
Answer:
Greatest Common Factor of 9046 and 9054 = 2
Step 1: Find the prime factorization of 9046
9046 = 2 x 4523
Step 2: Find the prime factorization of 9054
9054 = 2 x 3 x 3 x 503
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 9046 and 9054 is 2