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, 9050 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9046 and 9050 is 2.
GCF(9046,9050) = 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 9050
2 | 9050 |
5 | 4525 |
5 | 905 |
181 | 181 |
1 |
Prime factors of 9050 are 2,5,181. Prime factorization of 9050 in exponential form is:
9050 = 21×52×1811
∴ So by taking common prime factors GCF of 9046 and 9050 is 2
Factors of 9046
List of positive integer factors of 9046 that divides 9046 without a remainder.
1,2,4523,9046
Factors of 9050
List of positive integer factors of 9050 that divides 9050 without a remainder.
1,2,5,10,25,50,181,362,905,1810,4525,9050
Greatest Common Factor
We found the factors and prime factorization of 9046 and 9050. The biggest common factor number is the GCF number.
So the greatest common factor 9046 and 9050 is 2.
Also check out the Least Common Multiple of 9046 and 9050
(i) The GCF of 9046 and 9050 is associative
GCF of 9046 and 9050 = GCF of 9050 and 9046
1. What is the GCF of 9046 and 9050?
Answer: GCF of 9046 and 9050 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 9050?
Answer: Factors of 9050 are 1, 2, 5, 10, 25, 50, 181, 362, 905, 1810, 4525, 9050. There are 12 integers that are factors of 9050. The greatest factor of 9050 is 9050.
4. How to Find the GCF of 9046 and 9050?
Answer:
Greatest Common Factor of 9046 and 9050 = 2
Step 1: Find the prime factorization of 9046
9046 = 2 x 4523
Step 2: Find the prime factorization of 9050
9050 = 2 x 5 x 5 x 181
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 9050 is 2