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 15177, 15183 i.e. 3 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 15177 and 15183 is 3.
GCF(15177,15183) = 3
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 15177
3 | 15177 |
5059 | 5059 |
1 |
Prime factors of 15177 are 3,5059. Prime factorization of 15177 in exponential form is:
15177 = 31×50591
Prime Factorization of 15183
3 | 15183 |
3 | 5061 |
7 | 1687 |
241 | 241 |
1 |
Prime factors of 15183 are 3,7,241. Prime factorization of 15183 in exponential form is:
15183 = 32×71×2411
∴ So by taking common prime factors GCF of 15177 and 15183 is 3
Factors of 15177
List of positive integer factors of 15177 that divides 15177 without a remainder.
1,3,5059,15177
Factors of 15183
List of positive integer factors of 15183 that divides 15183 without a remainder.
1,3,7,9,21,63,241,723,1687,2169,5061,15183
Greatest Common Factor
We found the factors and prime factorization of 15177 and 15183. The biggest common factor number is the GCF number.
So the greatest common factor 15177 and 15183 is 3.
Also check out the Least Common Multiple of 15177 and 15183
(i) The GCF of 15177 and 15183 is associative
GCF of 15177 and 15183 = GCF of 15183 and 15177
1. What is the GCF of 15177 and 15183?
Answer: GCF of 15177 and 15183 is 3.
2. What are the Factors of 15177?
Answer: Factors of 15177 are 1, 3, 5059, 15177. There are 4 integers that are factors of 15177. The greatest factor of 15177 is 15177.
3. What are the Factors of 15183?
Answer: Factors of 15183 are 1, 3, 7, 9, 21, 63, 241, 723, 1687, 2169, 5061, 15183. There are 12 integers that are factors of 15183. The greatest factor of 15183 is 15183.
4. How to Find the GCF of 15177 and 15183?
Answer:
Greatest Common Factor of 15177 and 15183 = 3
Step 1: Find the prime factorization of 15177
15177 = 3 x 5059
Step 2: Find the prime factorization of 15183
15183 = 3 x 3 x 7 x 241
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 3
Step 4: Therefore, the greatest common factor of 15177 and 15183 is 3