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 9066, 9072 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9066 and 9072 is 6.
GCF(9066,9072) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
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
Prime Factorization of 9072
2 | 9072 |
2 | 4536 |
2 | 2268 |
2 | 1134 |
3 | 567 |
3 | 189 |
3 | 63 |
3 | 21 |
7 | 7 |
1 |
Prime factors of 9072 are 2,3,7. Prime factorization of 9072 in exponential form is:
9072 = 24×34×71
∴ So by taking common prime factors GCF of 9066 and 9072 is 6
Factors of 9066
List of positive integer factors of 9066 that divides 9066 without a remainder.
1,2,3,6,1511,3022,4533,9066
Factors of 9072
List of positive integer factors of 9072 that divides 9072 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Greatest Common Factor
We found the factors and prime factorization of 9066 and 9072. The biggest common factor number is the GCF number.
So the greatest common factor 9066 and 9072 is 6.
Also check out the Least Common Multiple of 9066 and 9072
(i) The GCF of 9066 and 9072 is associative
GCF of 9066 and 9072 = GCF of 9072 and 9066
1. What is the GCF of 9066 and 9072?
Answer: GCF of 9066 and 9072 is 6.
2. 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.
3. What are the Factors of 9072?
Answer: Factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072. There are 50 integers that are factors of 9072. The greatest factor of 9072 is 9072.
4. How to Find the GCF of 9066 and 9072?
Answer:
Greatest Common Factor of 9066 and 9072 = 6
Step 1: Find the prime factorization of 9066
9066 = 2 x 3 x 1511
Step 2: Find the prime factorization of 9072
9072 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 9066 and 9072 is 6