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 9112, 9115 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9112 and 9115 is 1.
GCF(9112,9115) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9112
2 | 9112 |
2 | 4556 |
2 | 2278 |
17 | 1139 |
67 | 67 |
1 |
Prime factors of 9112 are 2,17,67. Prime factorization of 9112 in exponential form is:
9112 = 23×171×671
Prime Factorization of 9115
5 | 9115 |
1823 | 1823 |
1 |
Prime factors of 9115 are 5,1823. Prime factorization of 9115 in exponential form is:
9115 = 51×18231
∴ So by taking common prime factors GCF of 9112 and 9115 is 1
Factors of 9112
List of positive integer factors of 9112 that divides 9112 without a remainder.
1,2,4,8,17,34,67,68,134,136,268,536,1139,2278,4556,9112
Factors of 9115
List of positive integer factors of 9115 that divides 9115 without a remainder.
1,5,1823,9115
Greatest Common Factor
We found the factors and prime factorization of 9112 and 9115. The biggest common factor number is the GCF number.
So the greatest common factor 9112 and 9115 is 1.
Also check out the Least Common Multiple of 9112 and 9115
(i) The GCF of 9112 and 9115 is associative
GCF of 9112 and 9115 = GCF of 9115 and 9112
1. What is the GCF of 9112 and 9115?
Answer: GCF of 9112 and 9115 is 1.
2. What are the Factors of 9112?
Answer: Factors of 9112 are 1, 2, 4, 8, 17, 34, 67, 68, 134, 136, 268, 536, 1139, 2278, 4556, 9112. There are 16 integers that are factors of 9112. The greatest factor of 9112 is 9112.
3. What are the Factors of 9115?
Answer: Factors of 9115 are 1, 5, 1823, 9115. There are 4 integers that are factors of 9115. The greatest factor of 9115 is 9115.
4. How to Find the GCF of 9112 and 9115?
Answer:
Greatest Common Factor of 9112 and 9115 = 1
Step 1: Find the prime factorization of 9112
9112 = 2 x 2 x 2 x 17 x 67
Step 2: Find the prime factorization of 9115
9115 = 5 x 1823
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 9112 and 9115 is 1