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 9140, 9146 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9140 and 9146 is 2.
GCF(9140,9146) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9140
2 | 9140 |
2 | 4570 |
5 | 2285 |
457 | 457 |
1 |
Prime factors of 9140 are 2,5,457. Prime factorization of 9140 in exponential form is:
9140 = 22×51×4571
Prime Factorization of 9146
2 | 9146 |
17 | 4573 |
269 | 269 |
1 |
Prime factors of 9146 are 2,17,269. Prime factorization of 9146 in exponential form is:
9146 = 21×171×2691
∴ So by taking common prime factors GCF of 9140 and 9146 is 2
Factors of 9140
List of positive integer factors of 9140 that divides 9140 without a remainder.
1,2,4,5,10,20,457,914,1828,2285,4570,9140
Factors of 9146
List of positive integer factors of 9146 that divides 9146 without a remainder.
1,2,17,34,269,538,4573,9146
Greatest Common Factor
We found the factors and prime factorization of 9140 and 9146. The biggest common factor number is the GCF number.
So the greatest common factor 9140 and 9146 is 2.
Also check out the Least Common Multiple of 9140 and 9146
(i) The GCF of 9140 and 9146 is associative
GCF of 9140 and 9146 = GCF of 9146 and 9140
1. What is the GCF of 9140 and 9146?
Answer: GCF of 9140 and 9146 is 2.
2. What are the Factors of 9140?
Answer: Factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140. There are 12 integers that are factors of 9140. The greatest factor of 9140 is 9140.
3. What are the Factors of 9146?
Answer: Factors of 9146 are 1, 2, 17, 34, 269, 538, 4573, 9146. There are 8 integers that are factors of 9146. The greatest factor of 9146 is 9146.
4. How to Find the GCF of 9140 and 9146?
Answer:
Greatest Common Factor of 9140 and 9146 = 2
Step 1: Find the prime factorization of 9140
9140 = 2 x 2 x 5 x 457
Step 2: Find the prime factorization of 9146
9146 = 2 x 17 x 269
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 9140 and 9146 is 2