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 9064, 9066 i.e. 2 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9064 and 9066 is 2.
GCF(9064,9066) = 2
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9064
2 | 9064 |
2 | 4532 |
2 | 2266 |
11 | 1133 |
103 | 103 |
1 |
Prime factors of 9064 are 2,11,103. Prime factorization of 9064 in exponential form is:
9064 = 23×111×1031
Prime Factorization of 9066
2 | 9066 |
3 | 4533 |
1511 | 1511 |
1 |
Prime factors of 9066 are 2,3,1511. Prime factorization of 9066 in exponential form is:
9066 = 21×31×15111
∴ So by taking common prime factors GCF of 9064 and 9066 is 2
Factors of 9064
List of positive integer factors of 9064 that divides 9064 without a remainder.
1,2,4,8,11,22,44,88,103,206,412,824,1133,2266,4532,9064
Factors of 9066
List of positive integer factors of 9066 that divides 9066 without a remainder.
1,2,3,6,1511,3022,4533,9066
Greatest Common Factor
We found the factors and prime factorization of 9064 and 9066. The biggest common factor number is the GCF number.
So the greatest common factor 9064 and 9066 is 2.
Also check out the Least Common Multiple of 9064 and 9066
(i) The GCF of 9064 and 9066 is associative
GCF of 9064 and 9066 = GCF of 9066 and 9064
1. What is the GCF of 9064 and 9066?
Answer: GCF of 9064 and 9066 is 2.
2. What are the Factors of 9064?
Answer: Factors of 9064 are 1, 2, 4, 8, 11, 22, 44, 88, 103, 206, 412, 824, 1133, 2266, 4532, 9064. There are 16 integers that are factors of 9064. The greatest factor of 9064 is 9064.
3. What are the Factors of 9066?
Answer: Factors of 9066 are 1, 2, 3, 6, 1511, 3022, 4533, 9066. There are 8 integers that are factors of 9066. The greatest factor of 9066 is 9066.
4. How to Find the GCF of 9064 and 9066?
Answer:
Greatest Common Factor of 9064 and 9066 = 2
Step 1: Find the prime factorization of 9064
9064 = 2 x 2 x 2 x 11 x 103
Step 2: Find the prime factorization of 9066
9066 = 2 x 3 x 1511
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 9064 and 9066 is 2