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 9169, 9176 i.e. 1 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 9169 and 9176 is 1.
GCF(9169,9176) = 1
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 9169
53 | 9169 |
173 | 173 |
1 |
Prime factors of 9169 are 53,173. Prime factorization of 9169 in exponential form is:
9169 = 531×1731
Prime Factorization of 9176
2 | 9176 |
2 | 4588 |
2 | 2294 |
31 | 1147 |
37 | 37 |
1 |
Prime factors of 9176 are 2,31,37. Prime factorization of 9176 in exponential form is:
9176 = 23×311×371
∴ So by taking common prime factors GCF of 9169 and 9176 is 1
Factors of 9169
List of positive integer factors of 9169 that divides 9169 without a remainder.
1,53,173,9169
Factors of 9176
List of positive integer factors of 9176 that divides 9176 without a remainder.
1,2,4,8,31,37,62,74,124,148,248,296,1147,2294,4588,9176
Greatest Common Factor
We found the factors and prime factorization of 9169 and 9176. The biggest common factor number is the GCF number.
So the greatest common factor 9169 and 9176 is 1.
Also check out the Least Common Multiple of 9169 and 9176
(i) The GCF of 9169 and 9176 is associative
GCF of 9169 and 9176 = GCF of 9176 and 9169
1. What is the GCF of 9169 and 9176?
Answer: GCF of 9169 and 9176 is 1.
2. What are the Factors of 9169?
Answer: Factors of 9169 are 1, 53, 173, 9169. There are 4 integers that are factors of 9169. The greatest factor of 9169 is 9169.
3. What are the Factors of 9176?
Answer: Factors of 9176 are 1, 2, 4, 8, 31, 37, 62, 74, 124, 148, 248, 296, 1147, 2294, 4588, 9176. There are 16 integers that are factors of 9176. The greatest factor of 9176 is 9176.
4. How to Find the GCF of 9169 and 9176?
Answer:
Greatest Common Factor of 9169 and 9176 = 1
Step 1: Find the prime factorization of 9169
9169 = 53 x 173
Step 2: Find the prime factorization of 9176
9176 = 2 x 2 x 2 x 31 x 37
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 9169 and 9176 is 1