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 9083, 9088 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9083 and 9088 is 1.
GCF(9083,9088) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9083
31 | 9083 |
293 | 293 |
1 |
Prime factors of 9083 are 31,293. Prime factorization of 9083 in exponential form is:
9083 = 311×2931
Prime Factorization of 9088
2 | 9088 |
2 | 4544 |
2 | 2272 |
2 | 1136 |
2 | 568 |
2 | 284 |
2 | 142 |
71 | 71 |
1 |
Prime factors of 9088 are 2,71. Prime factorization of 9088 in exponential form is:
9088 = 27×711
∴ So by taking common prime factors GCF of 9083 and 9088 is 1
Factors of 9083
List of positive integer factors of 9083 that divides 9083 without a remainder.
1,31,293,9083
Factors of 9088
List of positive integer factors of 9088 that divides 9088 without a remainder.
1,2,4,8,16,32,64,71,128,142,284,568,1136,2272,4544,9088
Greatest Common Factor
We found the factors and prime factorization of 9083 and 9088. The biggest common factor number is the GCF number.
So the greatest common factor 9083 and 9088 is 1.
Also check out the Least Common Multiple of 9083 and 9088
(i) The GCF of 9083 and 9088 is associative
GCF of 9083 and 9088 = GCF of 9088 and 9083
1. What is the GCF of 9083 and 9088?
Answer: GCF of 9083 and 9088 is 1.
2. What are the Factors of 9083?
Answer: Factors of 9083 are 1, 31, 293, 9083. There are 4 integers that are factors of 9083. The greatest factor of 9083 is 9083.
3. What are the Factors of 9088?
Answer: Factors of 9088 are 1, 2, 4, 8, 16, 32, 64, 71, 128, 142, 284, 568, 1136, 2272, 4544, 9088. There are 16 integers that are factors of 9088. The greatest factor of 9088 is 9088.
4. How to Find the GCF of 9083 and 9088?
Answer:
Greatest Common Factor of 9083 and 9088 = 1
Step 1: Find the prime factorization of 9083
9083 = 31 x 293
Step 2: Find the prime factorization of 9088
9088 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 71
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = = 1
Step 4: Therefore, the greatest common factor of 9083 and 9088 is 1